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Finding the Third Proportional to 14,684,389.50 and 31,119,276.75

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Solution

The third proportional to 14,684,389.50 and 31,119,276.75 is: 65,948,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684,389.50 : 31,119,276.75 = 31,119,276.75 : x
  2. Step 2: Convert to fraction form
    14,684,389.50/31,119,276.75 = 31,119,276.75/x
  3. Step 3: Cross multiply
    14,684,389.50x = 31,119,276.75 × 31,119,276.75
  4. Step 4: Simplify right side
    14,684,389.50x = 968,409,385,443,090.50
  5. Step 5: Solve for x
    x = 968,409,385,443,090.50/14,684,389.50
  6. Step 6: Final answer
    x = 65,948,222.46

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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.