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Finding the Third Proportional to 6,498,535 and 14,080,702

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Solution

The third proportional to 6,498,535 and 14,080,702 is: 30,509,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498,535 : 14,080,702 = 14,080,702 : x
  2. Step 2: Convert to fraction form
    6,498,535/14,080,702 = 14,080,702/x
  3. Step 3: Cross multiply
    6,498,535x = 14,080,702 × 14,080,702
  4. Step 4: Simplify right side
    6,498,535x = 198,266,168,812,804
  5. Step 5: Solve for x
    x = 198,266,168,812,804/6,498,535
  6. Step 6: Final answer
    x = 30,509,363.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.