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Finding the Third Proportional to 711,713,976 and 1,538,541,264

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Solution

The third proportional to 711,713,976 and 1,538,541,264 is: 3,325,927,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,713,976 : 1,538,541,264 = 1,538,541,264 : x
  2. Step 2: Convert to fraction form
    711,713,976/1,538,541,264 = 1,538,541,264/x
  3. Step 3: Cross multiply
    711,713,976x = 1,538,541,264 × 1,538,541,264
  4. Step 4: Simplify right side
    711,713,976x = 2,367,109,221,030,717,440
  5. Step 5: Solve for x
    x = 2,367,109,221,030,717,440/711,713,976
  6. Step 6: Final answer
    x = 3,325,927,691.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.