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Finding the Third Proportional to 2,051,251,332 and 4,837,377,354

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Solution

The third proportional to 2,051,251,332 and 4,837,377,354 is: 11,407,777,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,251,332 : 4,837,377,354 = 4,837,377,354 : x
  2. Step 2: Convert to fraction form
    2,051,251,332/4,837,377,354 = 4,837,377,354/x
  3. Step 3: Cross multiply
    2,051,251,332x = 4,837,377,354 × 4,837,377,354
  4. Step 4: Simplify right side
    2,051,251,332x = 23,400,219,664,992,043,008
  5. Step 5: Solve for x
    x = 23,400,219,664,992,043,008/2,051,251,332
  6. Step 6: Final answer
    x = 11,407,777,925.57

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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.