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Finding the Third Proportional to 1,668,764,127 and 3,627,795,102

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Solution

The third proportional to 1,668,764,127 and 3,627,795,102 is: 7,886,613,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,764,127 : 3,627,795,102 = 3,627,795,102 : x
  2. Step 2: Convert to fraction form
    1,668,764,127/3,627,795,102 = 3,627,795,102/x
  3. Step 3: Cross multiply
    1,668,764,127x = 3,627,795,102 × 3,627,795,102
  4. Step 4: Simplify right side
    1,668,764,127x = 13,160,897,302,095,190,016
  5. Step 5: Solve for x
    x = 13,160,897,302,095,190,016/1,668,764,127
  6. Step 6: Final answer
    x = 7,886,613,266.16

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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.