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Finding the Third Proportional to 7,862,731 and 16,818,448

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Solution

The third proportional to 7,862,731 and 16,818,448 is: 35,974,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862,731 : 16,818,448 = 16,818,448 : x
  2. Step 2: Convert to fraction form
    7,862,731/16,818,448 = 16,818,448/x
  3. Step 3: Cross multiply
    7,862,731x = 16,818,448 × 16,818,448
  4. Step 4: Simplify right side
    7,862,731x = 282,860,193,128,704
  5. Step 5: Solve for x
    x = 282,860,193,128,704/7,862,731
  6. Step 6: Final answer
    x = 35,974,802.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.