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Finding the Third Proportional to 1,558,123,520 and 2,329,408,231

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Solution

The third proportional to 1,558,123,520 and 2,329,408,231 is: 3,482,485,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558,123,520 : 2,329,408,231 = 2,329,408,231 : x
  2. Step 2: Convert to fraction form
    1,558,123,520/2,329,408,231 = 2,329,408,231/x
  3. Step 3: Cross multiply
    1,558,123,520x = 2,329,408,231 × 2,329,408,231
  4. Step 4: Simplify right side
    1,558,123,520x = 5,426,142,706,650,549,248
  5. Step 5: Solve for x
    x = 5,426,142,706,650,549,248/1,558,123,520
  6. Step 6: Final answer
    x = 3,482,485,590.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.