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Finding the Third Proportional to 473,024,478 and 1,011,420,488

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Solution

The third proportional to 473,024,478 and 1,011,420,488 is: 2,162,618,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,024,478 : 1,011,420,488 = 1,011,420,488 : x
  2. Step 2: Convert to fraction form
    473,024,478/1,011,420,488 = 1,011,420,488/x
  3. Step 3: Cross multiply
    473,024,478x = 1,011,420,488 × 1,011,420,488
  4. Step 4: Simplify right side
    473,024,478x = 1,022,971,403,546,158,080
  5. Step 5: Solve for x
    x = 1,022,971,403,546,158,080/473,024,478
  6. Step 6: Final answer
    x = 2,162,618,323.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.