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Finding the Third Proportional to 673,709,287 and 1,466,050,427

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Solution

The third proportional to 673,709,287 and 1,466,050,427 is: 3,190,254,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,709,287 : 1,466,050,427 = 1,466,050,427 : x
  2. Step 2: Convert to fraction form
    673,709,287/1,466,050,427 = 1,466,050,427/x
  3. Step 3: Cross multiply
    673,709,287x = 1,466,050,427 × 1,466,050,427
  4. Step 4: Simplify right side
    673,709,287x = 2,149,303,854,506,882,304
  5. Step 5: Solve for x
    x = 2,149,303,854,506,882,304/673,709,287
  6. Step 6: Final answer
    x = 3,190,254,158.55

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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.