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Finding the Third Proportional to 4,217,636,877 and 9,070,013,598

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Solution

The third proportional to 4,217,636,877 and 9,070,013,598 is: 19,505,033,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217,636,877 : 9,070,013,598 = 9,070,013,598 : x
  2. Step 2: Convert to fraction form
    4,217,636,877/9,070,013,598 = 9,070,013,598/x
  3. Step 3: Cross multiply
    4,217,636,877x = 9,070,013,598 × 9,070,013,598
  4. Step 4: Simplify right side
    4,217,636,877x = 82,265,146,667,904,909,312
  5. Step 5: Solve for x
    x = 82,265,146,667,904,909,312/4,217,636,877
  6. Step 6: Final answer
    x = 19,505,033,047.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.