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Finding the Third Proportional to 286,292,765,972 and 426,956,451,870

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Solution

The third proportional to 286,292,765,972 and 426,956,451,870 is: 636,732,161,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,292,765,972 : 426,956,451,870 = 426,956,451,870 : x
  2. Step 2: Convert to fraction form
    286,292,765,972/426,956,451,870 = 426,956,451,870/x
  3. Step 3: Cross multiply
    286,292,765,972x = 426,956,451,870 × 426,956,451,870
  4. Step 4: Simplify right side
    286,292,765,972x = 182,291,811,793,419,622,154,240
  5. Step 5: Solve for x
    x = 182,291,811,793,419,622,154,240/286,292,765,972
  6. Step 6: Final answer
    x = 636,732,161,829.22

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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.