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Finding the Third Proportional to 941,675,480 and 1,469,731,701

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Solution

The third proportional to 941,675,480 and 1,469,731,701 is: 2,293,902,006.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,675,480 : 1,469,731,701 = 1,469,731,701 : x
  2. Step 2: Convert to fraction form
    941,675,480/1,469,731,701 = 1,469,731,701/x
  3. Step 3: Cross multiply
    941,675,480x = 1,469,731,701 × 1,469,731,701
  4. Step 4: Simplify right side
    941,675,480x = 2,160,111,272,924,353,280
  5. Step 5: Solve for x
    x = 2,160,111,272,924,353,280/941,675,480
  6. Step 6: Final answer
    x = 2,293,902,006.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.