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Finding the Third Proportional to 1,510,149,924 and 3,559,843,251

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Solution

The third proportional to 1,510,149,924 and 3,559,843,251 is: 8,391,540,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,149,924 : 3,559,843,251 = 3,559,843,251 : x
  2. Step 2: Convert to fraction form
    1,510,149,924/3,559,843,251 = 3,559,843,251/x
  3. Step 3: Cross multiply
    1,510,149,924x = 3,559,843,251 × 3,559,843,251
  4. Step 4: Simplify right side
    1,510,149,924x = 12,672,483,971,690,248,192
  5. Step 5: Solve for x
    x = 12,672,483,971,690,248,192/1,510,149,924
  6. Step 6: Final answer
    x = 8,391,540,316.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.