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Finding the Third Proportional to 14,234,565 and 29,478,498

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Solution

The third proportional to 14,234,565 and 29,478,498 is: 61,047,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234,565 : 29,478,498 = 29,478,498 : x
  2. Step 2: Convert to fraction form
    14,234,565/29,478,498 = 29,478,498/x
  3. Step 3: Cross multiply
    14,234,565x = 29,478,498 × 29,478,498
  4. Step 4: Simplify right side
    14,234,565x = 868,981,844,336,004
  5. Step 5: Solve for x
    x = 868,981,844,336,004/14,234,565
  6. Step 6: Final answer
    x = 61,047,305.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.