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Finding the Third Proportional to 36,472,495.13 and 78,768,403.13

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Solution

The third proportional to 36,472,495.13 and 78,768,403.13 is: 170,113,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,472,495.13 : 78,768,403.13 = 78,768,403.13 : x
  2. Step 2: Convert to fraction form
    36,472,495.13/78,768,403.13 = 78,768,403.13/x
  3. Step 3: Cross multiply
    36,472,495.13x = 78,768,403.13 × 78,768,403.13
  4. Step 4: Simplify right side
    36,472,495.13x = 6,204,461,330,862,510
  5. Step 5: Solve for x
    x = 6,204,461,330,862,510/36,472,495.13
  6. Step 6: Final answer
    x = 170,113,432.32

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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.