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Finding the Third Proportional to 14,483,407.50 and 31,318,933.50

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Solution

The third proportional to 14,483,407.50 and 31,318,933.50 is: 67,724,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,483,407.50 : 31,318,933.50 = 31,318,933.50 : x
  2. Step 2: Convert to fraction form
    14,483,407.50/31,318,933.50 = 31,318,933.50/x
  3. Step 3: Cross multiply
    14,483,407.50x = 31,318,933.50 × 31,318,933.50
  4. Step 4: Simplify right side
    14,483,407.50x = 980,875,595,577,422.25
  5. Step 5: Solve for x
    x = 980,875,595,577,422.25/14,483,407.50
  6. Step 6: Final answer
    x = 67,724,090.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.