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Finding the Third Proportional to 4,578,514,960 and 9,917,655,938

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Solution

The third proportional to 4,578,514,960 and 9,917,655,938 is: 21,482,926,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578,514,960 : 9,917,655,938 = 9,917,655,938 : x
  2. Step 2: Convert to fraction form
    4,578,514,960/9,917,655,938 = 9,917,655,938/x
  3. Step 3: Cross multiply
    4,578,514,960x = 9,917,655,938 × 9,917,655,938
  4. Step 4: Simplify right side
    4,578,514,960x = 98,359,899,304,546,664,448
  5. Step 5: Solve for x
    x = 98,359,899,304,546,664,448/4,578,514,960
  6. Step 6: Final answer
    x = 21,482,926,268.42

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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.