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Finding the Third Proportional to 12,950,908,249,256 and 28,797,454,736,862

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Solution

The third proportional to 12,950,908,249,256 and 28,797,454,736,862 is: 64,033,609,331,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950,908,249,256 : 28,797,454,736,862 = 28,797,454,736,862 : x
  2. Step 2: Convert to fraction form
    12,950,908,249,256/28,797,454,736,862 = 28,797,454,736,862/x
  3. Step 3: Cross multiply
    12,950,908,249,256x = 28,797,454,736,862 × 28,797,454,736,862
  4. Step 4: Simplify right side
    12,950,908,249,256x = 829,293,399,321,615,689,268,068,352
  5. Step 5: Solve for x
    x = 829,293,399,321,615,689,268,068,352/12,950,908,249,256
  6. Step 6: Final answer
    x = 64,033,609,331,550.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.