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Finding the Third Proportional to 71,024,139 and 165,944,430

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Solution

The third proportional to 71,024,139 and 165,944,430 is: 387,721,051.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,024,139 : 165,944,430 = 165,944,430 : x
  2. Step 2: Convert to fraction form
    71,024,139/165,944,430 = 165,944,430/x
  3. Step 3: Cross multiply
    71,024,139x = 165,944,430 × 165,944,430
  4. Step 4: Simplify right side
    71,024,139x = 27,537,553,848,024,900
  5. Step 5: Solve for x
    x = 27,537,553,848,024,900/71,024,139
  6. Step 6: Final answer
    x = 387,721,051.40

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.