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Finding the Third Proportional to 242,902,940.06 and 528,933,520.13

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Solution

The third proportional to 242,902,940.06 and 528,933,520.13 is: 1,151,779,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,902,940.06 : 528,933,520.13 = 528,933,520.13 : x
  2. Step 2: Convert to fraction form
    242,902,940.06/528,933,520.13 = 528,933,520.13/x
  3. Step 3: Cross multiply
    242,902,940.06x = 528,933,520.13 × 528,933,520.13
  4. Step 4: Simplify right side
    242,902,940.06x = 279,770,668,711,823,776
  5. Step 5: Solve for x
    x = 279,770,668,711,823,776/242,902,940.06
  6. Step 6: Final answer
    x = 1,151,779,672.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.