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Finding the Third Proportional to 1,807,482,902 and 2,793,021,975

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Solution

The third proportional to 1,807,482,902 and 2,793,021,975 is: 4,315,931,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807,482,902 : 2,793,021,975 = 2,793,021,975 : x
  2. Step 2: Convert to fraction form
    1,807,482,902/2,793,021,975 = 2,793,021,975/x
  3. Step 3: Cross multiply
    1,807,482,902x = 2,793,021,975 × 2,793,021,975
  4. Step 4: Simplify right side
    1,807,482,902x = 7,800,971,752,832,901,120
  5. Step 5: Solve for x
    x = 7,800,971,752,832,901,120/1,807,482,902
  6. Step 6: Final answer
    x = 4,315,931,146.13

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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.