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Finding the Third Proportional to 1,252,431,150 and 2,473,248,943

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Solution

The third proportional to 1,252,431,150 and 2,473,248,943 is: 4,884,069,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252,431,150 : 2,473,248,943 = 2,473,248,943 : x
  2. Step 2: Convert to fraction form
    1,252,431,150/2,473,248,943 = 2,473,248,943/x
  3. Step 3: Cross multiply
    1,252,431,150x = 2,473,248,943 × 2,473,248,943
  4. Step 4: Simplify right side
    1,252,431,150x = 6,116,960,334,050,617,344
  5. Step 5: Solve for x
    x = 6,116,960,334,050,617,344/1,252,431,150
  6. Step 6: Final answer
    x = 4,884,069,143.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.