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Finding the Third Proportional to 924,948,136 and 1,329,475,128

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Solution

The third proportional to 924,948,136 and 1,329,475,128 is: 1,910,922,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,948,136 : 1,329,475,128 = 1,329,475,128 : x
  2. Step 2: Convert to fraction form
    924,948,136/1,329,475,128 = 1,329,475,128/x
  3. Step 3: Cross multiply
    924,948,136x = 1,329,475,128 × 1,329,475,128
  4. Step 4: Simplify right side
    924,948,136x = 1,767,504,115,970,616,320
  5. Step 5: Solve for x
    x = 1,767,504,115,970,616,320/924,948,136
  6. Step 6: Final answer
    x = 1,910,922,404.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.