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Finding the Third Proportional to 5,821,695,549 and 12,663,412,399.13

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Solution

The third proportional to 5,821,695,549 and 12,663,412,399.13 is: 27,545,585,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821,695,549 : 12,663,412,399.13 = 12,663,412,399.13 : x
  2. Step 2: Convert to fraction form
    5,821,695,549/12,663,412,399.13 = 12,663,412,399.13/x
  3. Step 3: Cross multiply
    5,821,695,549x = 12,663,412,399.13 × 12,663,412,399.13
  4. Step 4: Simplify right side
    5,821,695,549x = 160,362,013,590,312,779,776
  5. Step 5: Solve for x
    x = 160,362,013,590,312,779,776/5,821,695,549
  6. Step 6: Final answer
    x = 27,545,585,687.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.