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Finding the Third Proportional to 2,001,021,866 and 4,346,512,437

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Solution

The third proportional to 2,001,021,866 and 4,346,512,437 is: 9,441,261,330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,021,866 : 4,346,512,437 = 4,346,512,437 : x
  2. Step 2: Convert to fraction form
    2,001,021,866/4,346,512,437 = 4,346,512,437/x
  3. Step 3: Cross multiply
    2,001,021,866x = 4,346,512,437 × 4,346,512,437
  4. Step 4: Simplify right side
    2,001,021,866x = 18,892,170,364,995,678,208
  5. Step 5: Solve for x
    x = 18,892,170,364,995,678,208/2,001,021,866
  6. Step 6: Final answer
    x = 9,441,261,330.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.