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Finding the Third Proportional to 2,013,534,703 and 4,746,461,191

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Solution

The third proportional to 2,013,534,703 and 4,746,461,191 is: 11,188,728,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013,534,703 : 4,746,461,191 = 4,746,461,191 : x
  2. Step 2: Convert to fraction form
    2,013,534,703/4,746,461,191 = 4,746,461,191/x
  3. Step 3: Cross multiply
    2,013,534,703x = 4,746,461,191 × 4,746,461,191
  4. Step 4: Simplify right side
    2,013,534,703x = 22,528,893,837,669,138,432
  5. Step 5: Solve for x
    x = 22,528,893,837,669,138,432/2,013,534,703
  6. Step 6: Final answer
    x = 11,188,728,857.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.