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Finding the Third Proportional to 924,862,380 and 1,336,266,372

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Solution

The third proportional to 924,862,380 and 1,336,266,372 is: 1,930,674,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,862,380 : 1,336,266,372 = 1,336,266,372 : x
  2. Step 2: Convert to fraction form
    924,862,380/1,336,266,372 = 1,336,266,372/x
  3. Step 3: Cross multiply
    924,862,380x = 1,336,266,372 × 1,336,266,372
  4. Step 4: Simplify right side
    924,862,380x = 1,785,607,816,938,042,368
  5. Step 5: Solve for x
    x = 1,785,607,816,938,042,368/924,862,380
  6. Step 6: Final answer
    x = 1,930,674,071.68

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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.