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Finding the Third Proportional to 283,418,127 and 423,651,681

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Solution

The third proportional to 283,418,127 and 423,651,681 is: 633,271,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,418,127 : 423,651,681 = 423,651,681 : x
  2. Step 2: Convert to fraction form
    283,418,127/423,651,681 = 423,651,681/x
  3. Step 3: Cross multiply
    283,418,127x = 423,651,681 × 423,651,681
  4. Step 4: Simplify right side
    283,418,127x = 179,480,746,814,125,760
  5. Step 5: Solve for x
    x = 179,480,746,814,125,760/283,418,127
  6. Step 6: Final answer
    x = 633,271,938.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.