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Finding the Third Proportional to 56,781,837 and 123,528,193

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Solution

The third proportional to 56,781,837 and 123,528,193 is: 268,734,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,781,837 : 123,528,193 = 123,528,193 : x
  2. Step 2: Convert to fraction form
    56,781,837/123,528,193 = 123,528,193/x
  3. Step 3: Cross multiply
    56,781,837x = 123,528,193 × 123,528,193
  4. Step 4: Simplify right side
    56,781,837x = 15,259,214,465,845,248
  5. Step 5: Solve for x
    x = 15,259,214,465,845,248/56,781,837
  6. Step 6: Final answer
    x = 268,734,075.40

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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.