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Finding the Third Proportional to 9,447,381 and 14,168,614.50

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Solution

The third proportional to 9,447,381 and 14,168,614.50 is: 21,249,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,381 : 14,168,614.50 = 14,168,614.50 : x
  2. Step 2: Convert to fraction form
    9,447,381/14,168,614.50 = 14,168,614.50/x
  3. Step 3: Cross multiply
    9,447,381x = 14,168,614.50 × 14,168,614.50
  4. Step 4: Simplify right side
    9,447,381x = 200,749,636,849,610.25
  5. Step 5: Solve for x
    x = 200,749,636,849,610.25/9,447,381
  6. Step 6: Final answer
    x = 21,249,236.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.