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Finding the Third Proportional to 42,416,768 and 64,857,729

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Solution

The third proportional to 42,416,768 and 64,857,729 is: 99,171,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,416,768 : 64,857,729 = 64,857,729 : x
  2. Step 2: Convert to fraction form
    42,416,768/64,857,729 = 64,857,729/x
  3. Step 3: Cross multiply
    42,416,768x = 64,857,729 × 64,857,729
  4. Step 4: Simplify right side
    42,416,768x = 4,206,525,011,037,441
  5. Step 5: Solve for x
    x = 4,206,525,011,037,441/42,416,768
  6. Step 6: Final answer
    x = 99,171,276.11

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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.