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Finding the Third Proportional to 19,745,006 and 29,827,893

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Solution

The third proportional to 19,745,006 and 29,827,893 is: 45,059,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745,006 : 29,827,893 = 29,827,893 : x
  2. Step 2: Convert to fraction form
    19,745,006/29,827,893 = 29,827,893/x
  3. Step 3: Cross multiply
    19,745,006x = 29,827,893 × 29,827,893
  4. Step 4: Simplify right side
    19,745,006x = 889,703,200,819,449
  5. Step 5: Solve for x
    x = 889,703,200,819,449/19,745,006
  6. Step 6: Final answer
    x = 45,059,657.15

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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.