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Finding the Third Proportional to 19,609,346 and 29,295,363

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Solution

The third proportional to 19,609,346 and 29,295,363 is: 43,765,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609,346 : 29,295,363 = 29,295,363 : x
  2. Step 2: Convert to fraction form
    19,609,346/29,295,363 = 29,295,363/x
  3. Step 3: Cross multiply
    19,609,346x = 29,295,363 × 29,295,363
  4. Step 4: Simplify right side
    19,609,346x = 858,218,293,301,769
  5. Step 5: Solve for x
    x = 858,218,293,301,769/19,609,346
  6. Step 6: Final answer
    x = 43,765,778.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.