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Finding the Third Proportional to 25,551,046,624 and 55,601,316,032

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Solution

The third proportional to 25,551,046,624 and 55,601,316,032 is: 120,993,335,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,551,046,624 : 55,601,316,032 = 55,601,316,032 : x
  2. Step 2: Convert to fraction form
    25,551,046,624/55,601,316,032 = 55,601,316,032/x
  3. Step 3: Cross multiply
    25,551,046,624x = 55,601,316,032 × 55,601,316,032
  4. Step 4: Simplify right side
    25,551,046,624x = 3,091,506,344,490,340,188,160
  5. Step 5: Solve for x
    x = 3,091,506,344,490,340,188,160/25,551,046,624
  6. Step 6: Final answer
    x = 120,993,335,027.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.