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Finding the Third Proportional to 519,731,672 and 1,155,666,672

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Solution

The third proportional to 519,731,672 and 1,155,666,672 is: 2,569,721,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,731,672 : 1,155,666,672 = 1,155,666,672 : x
  2. Step 2: Convert to fraction form
    519,731,672/1,155,666,672 = 1,155,666,672/x
  3. Step 3: Cross multiply
    519,731,672x = 1,155,666,672 × 1,155,666,672
  4. Step 4: Simplify right side
    519,731,672x = 1,335,565,456,771,555,584
  5. Step 5: Solve for x
    x = 1,335,565,456,771,555,584/519,731,672
  6. Step 6: Final answer
    x = 2,569,721,124.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.