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Finding the Third Proportional to 57,001,834 and 94,346,707

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Solution

The third proportional to 57,001,834 and 94,346,707 is: 156,158,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,001,834 : 94,346,707 = 94,346,707 : x
  2. Step 2: Convert to fraction form
    57,001,834/94,346,707 = 94,346,707/x
  3. Step 3: Cross multiply
    57,001,834x = 94,346,707 × 94,346,707
  4. Step 4: Simplify right side
    57,001,834x = 8,901,301,121,743,849
  5. Step 5: Solve for x
    x = 8,901,301,121,743,849/57,001,834
  6. Step 6: Final answer
    x = 156,158,153.12

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.