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Finding the Third Proportional to 4,286,966,150 and 9,194,213,452

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Solution

The third proportional to 4,286,966,150 and 9,194,213,452 is: 19,718,737,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286,966,150 : 9,194,213,452 = 9,194,213,452 : x
  2. Step 2: Convert to fraction form
    4,286,966,150/9,194,213,452 = 9,194,213,452/x
  3. Step 3: Cross multiply
    4,286,966,150x = 9,194,213,452 × 9,194,213,452
  4. Step 4: Simplify right side
    4,286,966,150x = 84,533,561,000,937,750,528
  5. Step 5: Solve for x
    x = 84,533,561,000,937,750,528/4,286,966,150
  6. Step 6: Final answer
    x = 19,718,737,690.74

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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.