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Finding the Third Proportional to 14,494,282 and 31,592,840

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Solution

The third proportional to 14,494,282 and 31,592,840 is: 68,862,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494,282 : 31,592,840 = 31,592,840 : x
  2. Step 2: Convert to fraction form
    14,494,282/31,592,840 = 31,592,840/x
  3. Step 3: Cross multiply
    14,494,282x = 31,592,840 × 31,592,840
  4. Step 4: Simplify right side
    14,494,282x = 998,107,539,265,600
  5. Step 5: Solve for x
    x = 998,107,539,265,600/14,494,282
  6. Step 6: Final answer
    x = 68,862,158.14

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Why These Related Problems?

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