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Finding the Third Proportional to 151,827,456,640 and 316,221,581,952

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Solution

The third proportional to 151,827,456,640 and 316,221,581,952 is: 658,616,636,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,827,456,640 : 316,221,581,952 = 316,221,581,952 : x
  2. Step 2: Convert to fraction form
    151,827,456,640/316,221,581,952 = 316,221,581,952/x
  3. Step 3: Cross multiply
    151,827,456,640x = 316,221,581,952 × 316,221,581,952
  4. Step 4: Simplify right side
    151,827,456,640x = 99,996,088,892,225,447,002,112
  5. Step 5: Solve for x
    x = 99,996,088,892,225,447,002,112/151,827,456,640
  6. Step 6: Final answer
    x = 658,616,636,971.85

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.