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Finding the Third Proportional to 924,862,629 and 1,336,266,777.50

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Solution

The third proportional to 924,862,629 and 1,336,266,777.50 is: 1,930,674,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,862,629 : 1,336,266,777.50 = 1,336,266,777.50 : x
  2. Step 2: Convert to fraction form
    924,862,629/1,336,266,777.50 = 1,336,266,777.50/x
  3. Step 3: Cross multiply
    924,862,629x = 1,336,266,777.50 × 1,336,266,777.50
  4. Step 4: Simplify right side
    924,862,629x = 1,785,608,900,650,234,624
  5. Step 5: Solve for x
    x = 1,785,608,900,650,234,624/924,862,629
  6. Step 6: Final answer
    x = 1,930,674,723.64

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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.