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Finding the Third Proportional to 874,734,712 and 1,927,768,213

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Solution

The third proportional to 874,734,712 and 1,927,768,213 is: 4,248,476,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,734,712 : 1,927,768,213 = 1,927,768,213 : x
  2. Step 2: Convert to fraction form
    874,734,712/1,927,768,213 = 1,927,768,213/x
  3. Step 3: Cross multiply
    874,734,712x = 1,927,768,213 × 1,927,768,213
  4. Step 4: Simplify right side
    874,734,712x = 3,716,290,283,053,213,184
  5. Step 5: Solve for x
    x = 3,716,290,283,053,213,184/874,734,712
  6. Step 6: Final answer
    x = 4,248,476,974.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.