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Finding the Third Proportional to 871,043,895.84 and 1,331,561,459.74

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Solution

The third proportional to 871,043,895.84 and 1,331,561,459.74 is: 2,035,552,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,043,895.84 : 1,331,561,459.74 = 1,331,561,459.74 : x
  2. Step 2: Convert to fraction form
    871,043,895.84/1,331,561,459.74 = 1,331,561,459.74/x
  3. Step 3: Cross multiply
    871,043,895.84x = 1,331,561,459.74 × 1,331,561,459.74
  4. Step 4: Simplify right side
    871,043,895.84x = 1,773,055,921,070,778,112
  5. Step 5: Solve for x
    x = 1,773,055,921,070,778,112/871,043,895.84
  6. Step 6: Final answer
    x = 2,035,552,891.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.