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Finding the Third Proportional to 668,507,595 and 1,466,155,416

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Solution

The third proportional to 668,507,595 and 1,466,155,416 is: 3,215,538,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,507,595 : 1,466,155,416 = 1,466,155,416 : x
  2. Step 2: Convert to fraction form
    668,507,595/1,466,155,416 = 1,466,155,416/x
  3. Step 3: Cross multiply
    668,507,595x = 1,466,155,416 × 1,466,155,416
  4. Step 4: Simplify right side
    668,507,595x = 2,149,611,703,866,132,992
  5. Step 5: Solve for x
    x = 2,149,611,703,866,132,992/668,507,595
  6. Step 6: Final answer
    x = 3,215,538,192.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.