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Finding the Third Proportional to 7,897,398 and 11,943,297

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Solution

The third proportional to 7,897,398 and 11,943,297 is: 18,061,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897,398 : 11,943,297 = 11,943,297 : x
  2. Step 2: Convert to fraction form
    7,897,398/11,943,297 = 11,943,297/x
  3. Step 3: Cross multiply
    7,897,398x = 11,943,297 × 11,943,297
  4. Step 4: Simplify right side
    7,897,398x = 142,642,343,230,209
  5. Step 5: Solve for x
    x = 142,642,343,230,209/7,897,398
  6. Step 6: Final answer
    x = 18,061,941.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.