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Finding the Third Proportional to 766,662,273 and 1,251,757,921.50

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Solution

The third proportional to 766,662,273 and 1,251,757,921.50 is: 2,043,791,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,662,273 : 1,251,757,921.50 = 1,251,757,921.50 : x
  2. Step 2: Convert to fraction form
    766,662,273/1,251,757,921.50 = 1,251,757,921.50/x
  3. Step 3: Cross multiply
    766,662,273x = 1,251,757,921.50 × 1,251,757,921.50
  4. Step 4: Simplify right side
    766,662,273x = 1,566,897,894,038,000,128
  5. Step 5: Solve for x
    x = 1,566,897,894,038,000,128/766,662,273
  6. Step 6: Final answer
    x = 2,043,791,574.49

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.