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Finding the Third Proportional to 873,706,135.50 and 1,871,769,465

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Solution

The third proportional to 873,706,135.50 and 1,871,769,465 is: 4,009,953,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,706,135.50 : 1,871,769,465 = 1,871,769,465 : x
  2. Step 2: Convert to fraction form
    873,706,135.50/1,871,769,465 = 1,871,769,465/x
  3. Step 3: Cross multiply
    873,706,135.50x = 1,871,769,465 × 1,871,769,465
  4. Step 4: Simplify right side
    873,706,135.50x = 3,503,520,930,106,386,432
  5. Step 5: Solve for x
    x = 3,503,520,930,106,386,432/873,706,135.50
  6. Step 6: Final answer
    x = 4,009,953,447.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.