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Finding the Third Proportional to 1,948,741,065 and 4,547,219,544

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Solution

The third proportional to 1,948,741,065 and 4,547,219,544 is: 10,610,545,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,741,065 : 4,547,219,544 = 4,547,219,544 : x
  2. Step 2: Convert to fraction form
    1,948,741,065/4,547,219,544 = 4,547,219,544/x
  3. Step 3: Cross multiply
    1,948,741,065x = 4,547,219,544 × 4,547,219,544
  4. Step 4: Simplify right side
    1,948,741,065x = 20,677,205,581,335,568,384
  5. Step 5: Solve for x
    x = 20,677,205,581,335,568,384/1,948,741,065
  6. Step 6: Final answer
    x = 10,610,545,419.66

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.