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Finding the Third Proportional to 19,876,824.75 and 42,045,420

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Solution

The third proportional to 19,876,824.75 and 42,045,420 is: 88,938,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876,824.75 : 42,045,420 = 42,045,420 : x
  2. Step 2: Convert to fraction form
    19,876,824.75/42,045,420 = 42,045,420/x
  3. Step 3: Cross multiply
    19,876,824.75x = 42,045,420 × 42,045,420
  4. Step 4: Simplify right side
    19,876,824.75x = 1,767,817,342,976,400
  5. Step 5: Solve for x
    x = 1,767,817,342,976,400/19,876,824.75
  6. Step 6: Final answer
    x = 88,938,618.98

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.