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Finding the Third Proportional to 7,814,249,878 and 16,762,865,804

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Solution

The third proportional to 7,814,249,878 and 16,762,865,804 is: 35,959,135,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814,249,878 : 16,762,865,804 = 16,762,865,804 : x
  2. Step 2: Convert to fraction form
    7,814,249,878/16,762,865,804 = 16,762,865,804/x
  3. Step 3: Cross multiply
    7,814,249,878x = 16,762,865,804 × 16,762,865,804
  4. Step 4: Simplify right side
    7,814,249,878x = 280,993,669,962,912,563,200
  5. Step 5: Solve for x
    x = 280,993,669,962,912,563,200/7,814,249,878
  6. Step 6: Final answer
    x = 35,959,135,470.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.