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Finding the Third Proportional to 14,436,950.34 and 32,101,775.16

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Solution

The third proportional to 14,436,950.34 and 32,101,775.16 is: 71,381,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,436,950.34 : 32,101,775.16 = 32,101,775.16 : x
  2. Step 2: Convert to fraction form
    14,436,950.34/32,101,775.16 = 32,101,775.16/x
  3. Step 3: Cross multiply
    14,436,950.34x = 32,101,775.16 × 32,101,775.16
  4. Step 4: Simplify right side
    14,436,950.34x = 1,030,523,968,182,429.75
  5. Step 5: Solve for x
    x = 1,030,523,968,182,429.75/14,436,950.34
  6. Step 6: Final answer
    x = 71,381,001.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.