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Finding the Third Proportional to 2,947,020 and 6,513,432

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Solution

The third proportional to 2,947,020 and 6,513,432 is: 14,395,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,020 : 6,513,432 = 6,513,432 : x
  2. Step 2: Convert to fraction form
    2,947,020/6,513,432 = 6,513,432/x
  3. Step 3: Cross multiply
    2,947,020x = 6,513,432 × 6,513,432
  4. Step 4: Simplify right side
    2,947,020x = 42,424,796,418,624
  5. Step 5: Solve for x
    x = 42,424,796,418,624/2,947,020
  6. Step 6: Final answer
    x = 14,395,829.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.