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Finding the Third Proportional to 227,752,390,117.50 and 489,780,731,832

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Solution

The third proportional to 227,752,390,117.50 and 489,780,731,832 is: 1,053,271,779,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,752,390,117.50 : 489,780,731,832 = 489,780,731,832 : x
  2. Step 2: Convert to fraction form
    227,752,390,117.50/489,780,731,832 = 489,780,731,832/x
  3. Step 3: Cross multiply
    227,752,390,117.50x = 489,780,731,832 × 489,780,731,832
  4. Step 4: Simplify right side
    227,752,390,117.50x = 239,885,165,273,889,493,745,664
  5. Step 5: Solve for x
    x = 239,885,165,273,889,493,745,664/227,752,390,117.50
  6. Step 6: Final answer
    x = 1,053,271,779,717.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.