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Finding the Third Proportional to 36,092,017.13 and 77,937,314.06

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Solution

The third proportional to 36,092,017.13 and 77,937,314.06 is: 168,298,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,092,017.13 : 77,937,314.06 = 77,937,314.06 : x
  2. Step 2: Convert to fraction form
    36,092,017.13/77,937,314.06 = 77,937,314.06/x
  3. Step 3: Cross multiply
    36,092,017.13x = 77,937,314.06 × 77,937,314.06
  4. Step 4: Simplify right side
    36,092,017.13x = 6,074,224,923,276,760
  5. Step 5: Solve for x
    x = 6,074,224,923,276,760/36,092,017.13
  6. Step 6: Final answer
    x = 168,298,294.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.