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Finding the Third Proportional to 3,210,593,065 and 4,911,847,913

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Solution

The third proportional to 3,210,593,065 and 4,911,847,913 is: 7,514,577,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210,593,065 : 4,911,847,913 = 4,911,847,913 : x
  2. Step 2: Convert to fraction form
    3,210,593,065/4,911,847,913 = 4,911,847,913/x
  3. Step 3: Cross multiply
    3,210,593,065x = 4,911,847,913 × 4,911,847,913
  4. Step 4: Simplify right side
    3,210,593,065x = 24,126,249,920,442,454,016
  5. Step 5: Solve for x
    x = 24,126,249,920,442,454,016/3,210,593,065
  6. Step 6: Final answer
    x = 7,514,577,348.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.