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Finding the Third Proportional to 2,086,094,056 and 4,534,497,461

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Solution

The third proportional to 2,086,094,056 and 4,534,497,461 is: 9,856,538,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,094,056 : 4,534,497,461 = 4,534,497,461 : x
  2. Step 2: Convert to fraction form
    2,086,094,056/4,534,497,461 = 4,534,497,461/x
  3. Step 3: Cross multiply
    2,086,094,056x = 4,534,497,461 × 4,534,497,461
  4. Step 4: Simplify right side
    2,086,094,056x = 20,561,667,223,815,446,528
  5. Step 5: Solve for x
    x = 20,561,667,223,815,446,528/2,086,094,056
  6. Step 6: Final answer
    x = 9,856,538,905.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.