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Finding the Third Proportional to 8,103,822 and 17,688,597

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Solution

The third proportional to 8,103,822 and 17,688,597 is: 38,609,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103,822 : 17,688,597 = 17,688,597 : x
  2. Step 2: Convert to fraction form
    8,103,822/17,688,597 = 17,688,597/x
  3. Step 3: Cross multiply
    8,103,822x = 17,688,597 × 17,688,597
  4. Step 4: Simplify right side
    8,103,822x = 312,886,463,828,409
  5. Step 5: Solve for x
    x = 312,886,463,828,409/8,103,822
  6. Step 6: Final answer
    x = 38,609,740.42

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