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Finding the Third Proportional to 616,593,690 and 1,438,768,329

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Solution

The third proportional to 616,593,690 and 1,438,768,329 is: 3,357,242,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,593,690 : 1,438,768,329 = 1,438,768,329 : x
  2. Step 2: Convert to fraction form
    616,593,690/1,438,768,329 = 1,438,768,329/x
  3. Step 3: Cross multiply
    616,593,690x = 1,438,768,329 × 1,438,768,329
  4. Step 4: Simplify right side
    616,593,690x = 2,070,054,304,533,452,288
  5. Step 5: Solve for x
    x = 2,070,054,304,533,452,288/616,593,690
  6. Step 6: Final answer
    x = 3,357,242,116.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.