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Finding the Third Proportional to 1,807,482,900 and 2,793,021,972

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Solution

The third proportional to 1,807,482,900 and 2,793,021,972 is: 4,315,931,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807,482,900 : 2,793,021,972 = 2,793,021,972 : x
  2. Step 2: Convert to fraction form
    1,807,482,900/2,793,021,972 = 2,793,021,972/x
  3. Step 3: Cross multiply
    1,807,482,900x = 2,793,021,972 × 2,793,021,972
  4. Step 4: Simplify right side
    1,807,482,900x = 7,800,971,736,074,768,384
  5. Step 5: Solve for x
    x = 7,800,971,736,074,768,384/1,807,482,900
  6. Step 6: Final answer
    x = 4,315,931,141.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.