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Finding the Third Proportional to 1,704,574,888.88 and 3,662,912,856.38

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Solution

The third proportional to 1,704,574,888.88 and 3,662,912,856.38 is: 7,871,130,028.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,574,888.88 : 3,662,912,856.38 = 3,662,912,856.38 : x
  2. Step 2: Convert to fraction form
    1,704,574,888.88/3,662,912,856.38 = 3,662,912,856.38/x
  3. Step 3: Cross multiply
    1,704,574,888.88x = 3,662,912,856.38 × 3,662,912,856.38
  4. Step 4: Simplify right side
    1,704,574,888.88x = 13,416,930,593,397,262,336
  5. Step 5: Solve for x
    x = 13,416,930,593,397,262,336/1,704,574,888.88
  6. Step 6: Final answer
    x = 7,871,130,028.35

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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.