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Finding the Third Proportional to 51,542,173.13 and 72,097,345.69

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Solution

The third proportional to 51,542,173.13 and 72,097,345.69 is: 100,849,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,542,173.13 : 72,097,345.69 = 72,097,345.69 : x
  2. Step 2: Convert to fraction form
    51,542,173.13/72,097,345.69 = 72,097,345.69/x
  3. Step 3: Cross multiply
    51,542,173.13x = 72,097,345.69 × 72,097,345.69
  4. Step 4: Simplify right side
    51,542,173.13x = 5,198,027,255,182,875
  5. Step 5: Solve for x
    x = 5,198,027,255,182,875/51,542,173.13
  6. Step 6: Final answer
    x = 100,849,982.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.