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Finding the Third Proportional to 1,069,986,926 and 2,170,059,448

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Solution

The third proportional to 1,069,986,926 and 2,170,059,448 is: 4,401,136,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,986,926 : 2,170,059,448 = 2,170,059,448 : x
  2. Step 2: Convert to fraction form
    1,069,986,926/2,170,059,448 = 2,170,059,448/x
  3. Step 3: Cross multiply
    1,069,986,926x = 2,170,059,448 × 2,170,059,448
  4. Step 4: Simplify right side
    1,069,986,926x = 4,709,158,007,854,064,640
  5. Step 5: Solve for x
    x = 4,709,158,007,854,064,640/1,069,986,926
  6. Step 6: Final answer
    x = 4,401,136,026.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.