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Finding the Third Proportional to 242,293,399 and 528,991,645

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Solution

The third proportional to 242,293,399 and 528,991,645 is: 1,154,931,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,293,399 : 528,991,645 = 528,991,645 : x
  2. Step 2: Convert to fraction form
    242,293,399/528,991,645 = 528,991,645/x
  3. Step 3: Cross multiply
    242,293,399x = 528,991,645 × 528,991,645
  4. Step 4: Simplify right side
    242,293,399x = 279,832,160,479,806,016
  5. Step 5: Solve for x
    x = 279,832,160,479,806,016/242,293,399
  6. Step 6: Final answer
    x = 1,154,931,011.88

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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.