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Finding the Third Proportional to 668,507,301 and 1,466,154,630

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Solution

The third proportional to 668,507,301 and 1,466,154,630 is: 3,215,536,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,507,301 : 1,466,154,630 = 1,466,154,630 : x
  2. Step 2: Convert to fraction form
    668,507,301/1,466,154,630 = 1,466,154,630/x
  3. Step 3: Cross multiply
    668,507,301x = 1,466,154,630 × 1,466,154,630
  4. Step 4: Simplify right side
    668,507,301x = 2,149,609,399,070,436,864
  5. Step 5: Solve for x
    x = 2,149,609,399,070,436,864/668,507,301
  6. Step 6: Final answer
    x = 3,215,536,159.22

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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.