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Finding the Third Proportional to 14,209,406 and 30,808,432

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Solution

The third proportional to 14,209,406 and 30,808,432 is: 66,797,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209,406 : 30,808,432 = 30,808,432 : x
  2. Step 2: Convert to fraction form
    14,209,406/30,808,432 = 30,808,432/x
  3. Step 3: Cross multiply
    14,209,406x = 30,808,432 × 30,808,432
  4. Step 4: Simplify right side
    14,209,406x = 949,159,482,298,624
  5. Step 5: Solve for x
    x = 949,159,482,298,624/14,209,406
  6. Step 6: Final answer
    x = 66,797,970.46

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Why These Related Problems?

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