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Finding the Third Proportional to 1,048,487,076.56 and 1,627,976,068.31

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Solution

The third proportional to 1,048,487,076.56 and 1,627,976,068.31 is: 2,527,743,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,487,076.56 : 1,627,976,068.31 = 1,627,976,068.31 : x
  2. Step 2: Convert to fraction form
    1,048,487,076.56/1,627,976,068.31 = 1,627,976,068.31/x
  3. Step 3: Cross multiply
    1,048,487,076.56x = 1,627,976,068.31 × 1,627,976,068.31
  4. Step 4: Simplify right side
    1,048,487,076.56x = 2,650,306,078,998,225,920
  5. Step 5: Solve for x
    x = 2,650,306,078,998,225,920/1,048,487,076.56
  6. Step 6: Final answer
    x = 2,527,743,200.89

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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.