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Finding the Third Proportional to 13,730,066 and 29,586,454

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Solution

The third proportional to 13,730,066 and 29,586,454 is: 63,754,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730,066 : 29,586,454 = 29,586,454 : x
  2. Step 2: Convert to fraction form
    13,730,066/29,586,454 = 29,586,454/x
  3. Step 3: Cross multiply
    13,730,066x = 29,586,454 × 29,586,454
  4. Step 4: Simplify right side
    13,730,066x = 875,358,260,294,116
  5. Step 5: Solve for x
    x = 875,358,260,294,116/13,730,066
  6. Step 6: Final answer
    x = 63,754,847.23

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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.