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Finding the Third Proportional to 8,765,019 and 13,098,465

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Solution

The third proportional to 8,765,019 and 13,098,465 is: 19,574,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765,019 : 13,098,465 = 13,098,465 : x
  2. Step 2: Convert to fraction form
    8,765,019/13,098,465 = 13,098,465/x
  3. Step 3: Cross multiply
    8,765,019x = 13,098,465 × 13,098,465
  4. Step 4: Simplify right side
    8,765,019x = 171,569,785,356,225
  5. Step 5: Solve for x
    x = 171,569,785,356,225/8,765,019
  6. Step 6: Final answer
    x = 19,574,376.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.