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Finding the Third Proportional to 42,416,263.13 and 64,857,012.75

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Solution

The third proportional to 42,416,263.13 and 64,857,012.75 is: 99,170,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,416,263.13 : 64,857,012.75 = 64,857,012.75 : x
  2. Step 2: Convert to fraction form
    42,416,263.13/64,857,012.75 = 64,857,012.75/x
  3. Step 3: Cross multiply
    42,416,263.13x = 64,857,012.75 × 64,857,012.75
  4. Step 4: Simplify right side
    42,416,263.13x = 4,206,432,102,853,662.50
  5. Step 5: Solve for x
    x = 4,206,432,102,853,662.50/42,416,263.13
  6. Step 6: Final answer
    x = 99,170,266.14

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.