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Finding the Third Proportional to 464,924,124,302 and 721,864,338,515

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Solution

The third proportional to 464,924,124,302 and 721,864,338,515 is: 1,120,802,505,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,924,124,302 : 721,864,338,515 = 721,864,338,515 : x
  2. Step 2: Convert to fraction form
    464,924,124,302/721,864,338,515 = 721,864,338,515/x
  3. Step 3: Cross multiply
    464,924,124,302x = 721,864,338,515 × 721,864,338,515
  4. Step 4: Simplify right side
    464,924,124,302x = 521,088,123,219,698,492,899,328
  5. Step 5: Solve for x
    x = 521,088,123,219,698,492,899,328/464,924,124,302
  6. Step 6: Final answer
    x = 1,120,802,505,144.29

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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.