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Finding the Third Proportional to 1,026,067,394 and 2,197,421,599

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Solution

The third proportional to 1,026,067,394 and 2,197,421,599 is: 4,705,988,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,067,394 : 2,197,421,599 = 2,197,421,599 : x
  2. Step 2: Convert to fraction form
    1,026,067,394/2,197,421,599 = 2,197,421,599/x
  3. Step 3: Cross multiply
    1,026,067,394x = 2,197,421,599 × 2,197,421,599
  4. Step 4: Simplify right side
    1,026,067,394x = 4,828,661,683,751,716,864
  5. Step 5: Solve for x
    x = 4,828,661,683,751,716,864/1,026,067,394
  6. Step 6: Final answer
    x = 4,705,988,819.05

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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.