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Finding the Third Proportional to 19,656,578 and 29,759,700

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Solution

The third proportional to 19,656,578 and 29,759,700 is: 45,055,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656,578 : 29,759,700 = 29,759,700 : x
  2. Step 2: Convert to fraction form
    19,656,578/29,759,700 = 29,759,700/x
  3. Step 3: Cross multiply
    19,656,578x = 29,759,700 × 29,759,700
  4. Step 4: Simplify right side
    19,656,578x = 885,639,744,090,000
  5. Step 5: Solve for x
    x = 885,639,744,090,000/19,656,578
  6. Step 6: Final answer
    x = 45,055,642.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.