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Finding the Third Proportional to 616,753,199 and 1,346,525,028

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Solution

The third proportional to 616,753,199 and 1,346,525,028 is: 2,939,797,724.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,753,199 : 1,346,525,028 = 1,346,525,028 : x
  2. Step 2: Convert to fraction form
    616,753,199/1,346,525,028 = 1,346,525,028/x
  3. Step 3: Cross multiply
    616,753,199x = 1,346,525,028 × 1,346,525,028
  4. Step 4: Simplify right side
    616,753,199x = 1,813,129,651,030,400,768
  5. Step 5: Solve for x
    x = 1,813,129,651,030,400,768/616,753,199
  6. Step 6: Final answer
    x = 2,939,797,724.55

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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.