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Finding the Third Proportional to 2,262,651,840 and 4,871,107,584

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Solution

The third proportional to 2,262,651,840 and 4,871,107,584 is: 10,486,672,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262,651,840 : 4,871,107,584 = 4,871,107,584 : x
  2. Step 2: Convert to fraction form
    2,262,651,840/4,871,107,584 = 4,871,107,584/x
  3. Step 3: Cross multiply
    2,262,651,840x = 4,871,107,584 × 4,871,107,584
  4. Step 4: Simplify right side
    2,262,651,840x = 23,727,689,094,902,317,056
  5. Step 5: Solve for x
    x = 23,727,689,094,902,317,056/2,262,651,840
  6. Step 6: Final answer
    x = 10,486,672,618.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.