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Finding the Third Proportional to 762,531,856.03 and 1,178,306,162.16

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Solution

The third proportional to 762,531,856.03 and 1,178,306,162.16 is: 1,820,783,487.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,531,856.03 : 1,178,306,162.16 = 1,178,306,162.16 : x
  2. Step 2: Convert to fraction form
    762,531,856.03/1,178,306,162.16 = 1,178,306,162.16/x
  3. Step 3: Cross multiply
    762,531,856.03x = 1,178,306,162.16 × 1,178,306,162.16
  4. Step 4: Simplify right side
    762,531,856.03x = 1,388,405,411,775,272,960
  5. Step 5: Solve for x
    x = 1,388,405,411,775,272,960/762,531,856.03
  6. Step 6: Final answer
    x = 1,820,783,487.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.