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Finding the Third Proportional to 6,855,675,492 and 9,654,301,788

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Solution

The third proportional to 6,855,675,492 and 9,654,301,788 is: 13,595,384,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855,675,492 : 9,654,301,788 = 9,654,301,788 : x
  2. Step 2: Convert to fraction form
    6,855,675,492/9,654,301,788 = 9,654,301,788/x
  3. Step 3: Cross multiply
    6,855,675,492x = 9,654,301,788 × 9,654,301,788
  4. Step 4: Simplify right side
    6,855,675,492x = 93,205,543,013,779,996,672
  5. Step 5: Solve for x
    x = 93,205,543,013,779,996,672/6,855,675,492
  6. Step 6: Final answer
    x = 13,595,384,309.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.