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Finding the Third Proportional to 511,049,677.50 and 1,109,319,061.50

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Solution

The third proportional to 511,049,677.50 and 1,109,319,061.50 is: 2,407,963,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,049,677.50 : 1,109,319,061.50 = 1,109,319,061.50 : x
  2. Step 2: Convert to fraction form
    511,049,677.50/1,109,319,061.50 = 1,109,319,061.50/x
  3. Step 3: Cross multiply
    511,049,677.50x = 1,109,319,061.50 × 1,109,319,061.50
  4. Step 4: Simplify right side
    511,049,677.50x = 1,230,588,780,207,240,704
  5. Step 5: Solve for x
    x = 1,230,588,780,207,240,704/511,049,677.50
  6. Step 6: Final answer
    x = 2,407,963,128.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.