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Finding the Third Proportional to 19,876,824 and 42,045,419

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Solution

The third proportional to 19,876,824 and 42,045,419 is: 88,938,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876,824 : 42,045,419 = 42,045,419 : x
  2. Step 2: Convert to fraction form
    19,876,824/42,045,419 = 42,045,419/x
  3. Step 3: Cross multiply
    19,876,824x = 42,045,419 × 42,045,419
  4. Step 4: Simplify right side
    19,876,824x = 1,767,817,258,885,561
  5. Step 5: Solve for x
    x = 1,767,817,258,885,561/19,876,824
  6. Step 6: Final answer
    x = 88,938,618.11

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Why These Related Problems?

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