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Finding the Third Proportional to 924,862,438.13 and 1,336,266,512.44

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Solution

The third proportional to 924,862,438.13 and 1,336,266,512.44 is: 1,930,674,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,862,438.13 : 1,336,266,512.44 = 1,336,266,512.44 : x
  2. Step 2: Convert to fraction form
    924,862,438.13/1,336,266,512.44 = 1,336,266,512.44/x
  3. Step 3: Cross multiply
    924,862,438.13x = 1,336,266,512.44 × 1,336,266,512.44
  4. Step 4: Simplify right side
    924,862,438.13x = 1,785,608,192,261,879,296
  5. Step 5: Solve for x
    x = 1,785,608,192,261,879,296/924,862,438.13
  6. Step 6: Final answer
    x = 1,930,674,356.16

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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.