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Finding the Third Proportional to 1,693,666,206 and 3,668,767,290

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Solution

The third proportional to 1,693,666,206 and 3,668,767,290 is: 7,947,170,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,666,206 : 3,668,767,290 = 3,668,767,290 : x
  2. Step 2: Convert to fraction form
    1,693,666,206/3,668,767,290 = 3,668,767,290/x
  3. Step 3: Cross multiply
    1,693,666,206x = 3,668,767,290 × 3,668,767,290
  4. Step 4: Simplify right side
    1,693,666,206x = 13,459,853,428,173,944,832
  5. Step 5: Solve for x
    x = 13,459,853,428,173,944,832/1,693,666,206
  6. Step 6: Final answer
    x = 7,947,170,097.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.