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Finding the Third Proportional to 764,216,817 and 1,666,778,466

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Solution

The third proportional to 764,216,817 and 1,666,778,466 is: 3,635,290,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,216,817 : 1,666,778,466 = 1,666,778,466 : x
  2. Step 2: Convert to fraction form
    764,216,817/1,666,778,466 = 1,666,778,466/x
  3. Step 3: Cross multiply
    764,216,817x = 1,666,778,466 × 1,666,778,466
  4. Step 4: Simplify right side
    764,216,817x = 2,778,150,454,721,313,280
  5. Step 5: Solve for x
    x = 2,778,150,454,721,313,280/764,216,817
  6. Step 6: Final answer
    x = 3,635,290,918.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.