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Finding the Third Proportional to 464,924,124,300 and 721,864,338,512

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Solution

The third proportional to 464,924,124,300 and 721,864,338,512 is: 1,120,802,505,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,924,124,300 : 721,864,338,512 = 721,864,338,512 : x
  2. Step 2: Convert to fraction form
    464,924,124,300/721,864,338,512 = 721,864,338,512/x
  3. Step 3: Cross multiply
    464,924,124,300x = 721,864,338,512 × 721,864,338,512
  4. Step 4: Simplify right side
    464,924,124,300x = 521,088,123,215,367,353,925,632
  5. Step 5: Solve for x
    x = 521,088,123,215,367,353,925,632/464,924,124,300
  6. Step 6: Final answer
    x = 1,120,802,505,139.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.