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Finding the Third Proportional to 14,684,392 and 31,119,281

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Solution

The third proportional to 14,684,392 and 31,119,281 is: 65,948,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684,392 : 31,119,281 = 31,119,281 : x
  2. Step 2: Convert to fraction form
    14,684,392/31,119,281 = 31,119,281/x
  3. Step 3: Cross multiply
    14,684,392x = 31,119,281 × 31,119,281
  4. Step 4: Simplify right side
    14,684,392x = 968,409,649,956,961
  5. Step 5: Solve for x
    x = 968,409,649,956,961/14,684,392
  6. Step 6: Final answer
    x = 65,948,229.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.