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Finding the Third Proportional to 766,643,341.50 and 1,667,610,463.50

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Solution

The third proportional to 766,643,341.50 and 1,667,610,463.50 is: 3,627,403,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,643,341.50 : 1,667,610,463.50 = 1,667,610,463.50 : x
  2. Step 2: Convert to fraction form
    766,643,341.50/1,667,610,463.50 = 1,667,610,463.50/x
  3. Step 3: Cross multiply
    766,643,341.50x = 1,667,610,463.50 × 1,667,610,463.50
  4. Step 4: Simplify right side
    766,643,341.50x = 2,780,924,657,974,684,672
  5. Step 5: Solve for x
    x = 2,780,924,657,974,684,672/766,643,341.50
  6. Step 6: Final answer
    x = 3,627,403,392.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.