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Finding the Third Proportional to 21,417,432.75 and 32,628,065.63

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Solution

The third proportional to 21,417,432.75 and 32,628,065.63 is: 49,706,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,417,432.75 : 32,628,065.63 = 32,628,065.63 : x
  2. Step 2: Convert to fraction form
    21,417,432.75/32,628,065.63 = 32,628,065.63/x
  3. Step 3: Cross multiply
    21,417,432.75x = 32,628,065.63 × 32,628,065.63
  4. Step 4: Simplify right side
    21,417,432.75x = 1,064,590,666,429,306.62
  5. Step 5: Solve for x
    x = 1,064,590,666,429,306.62/21,417,432.75
  6. Step 6: Final answer
    x = 49,706,735.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.