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Finding the Third Proportional to 8,972,864,232 and 19,634,372,414

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Solution

The third proportional to 8,972,864,232 and 19,634,372,414 is: 42,963,826,279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,864,232 : 19,634,372,414 = 19,634,372,414 : x
  2. Step 2: Convert to fraction form
    8,972,864,232/19,634,372,414 = 19,634,372,414/x
  3. Step 3: Cross multiply
    8,972,864,232x = 19,634,372,414 × 19,634,372,414
  4. Step 4: Simplify right side
    8,972,864,232x = 385,508,580,091,644,215,296
  5. Step 5: Solve for x
    x = 385,508,580,091,644,215,296/8,972,864,232
  6. Step 6: Final answer
    x = 42,963,826,279.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.