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Finding the Third Proportional to 3,160,780,812 and 6,807,032,856

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Solution

The third proportional to 3,160,780,812 and 6,807,032,856 is: 14,659,572,763.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160,780,812 : 6,807,032,856 = 6,807,032,856 : x
  2. Step 2: Convert to fraction form
    3,160,780,812/6,807,032,856 = 6,807,032,856/x
  3. Step 3: Cross multiply
    3,160,780,812x = 6,807,032,856 × 6,807,032,856
  4. Step 4: Simplify right side
    3,160,780,812x = 46,335,696,302,663,516,160
  5. Step 5: Solve for x
    x = 46,335,696,302,663,516,160/3,160,780,812
  6. Step 6: Final answer
    x = 14,659,572,763.40

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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.