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Finding the Third Proportional to 663,860,229.75 and 974,266,903.13

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Solution

The third proportional to 663,860,229.75 and 974,266,903.13 is: 1,429,813,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,860,229.75 : 974,266,903.13 = 974,266,903.13 : x
  2. Step 2: Convert to fraction form
    663,860,229.75/974,266,903.13 = 974,266,903.13/x
  3. Step 3: Cross multiply
    663,860,229.75x = 974,266,903.13 × 974,266,903.13
  4. Step 4: Simplify right side
    663,860,229.75x = 949,195,998,524,778,112
  5. Step 5: Solve for x
    x = 949,195,998,524,778,112/663,860,229.75
  6. Step 6: Final answer
    x = 1,429,813,017.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.