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Finding the Third Proportional to 52,358,572.13 and 84,363,600.94

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Solution

The third proportional to 52,358,572.13 and 84,363,600.94 is: 135,932,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,358,572.13 : 84,363,600.94 = 84,363,600.94 : x
  2. Step 2: Convert to fraction form
    52,358,572.13/84,363,600.94 = 84,363,600.94/x
  3. Step 3: Cross multiply
    52,358,572.13x = 84,363,600.94 × 84,363,600.94
  4. Step 4: Simplify right side
    52,358,572.13x = 7,117,217,163,141,751
  5. Step 5: Solve for x
    x = 7,117,217,163,141,751/52,358,572.13
  6. Step 6: Final answer
    x = 135,932,224.17

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.