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Finding the Third Proportional to 450,252,789 and 975,661,023

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Solution

The third proportional to 450,252,789 and 975,661,023 is: 2,114,177,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,252,789 : 975,661,023 = 975,661,023 : x
  2. Step 2: Convert to fraction form
    450,252,789/975,661,023 = 975,661,023/x
  3. Step 3: Cross multiply
    450,252,789x = 975,661,023 × 975,661,023
  4. Step 4: Simplify right side
    450,252,789x = 951,914,431,801,406,592
  5. Step 5: Solve for x
    x = 951,914,431,801,406,592/450,252,789
  6. Step 6: Final answer
    x = 2,114,177,757.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.