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Finding the Third Proportional to 1,668,764,129 and 3,627,795,106

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Solution

The third proportional to 1,668,764,129 and 3,627,795,106 is: 7,886,613,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,764,129 : 3,627,795,106 = 3,627,795,106 : x
  2. Step 2: Convert to fraction form
    1,668,764,129/3,627,795,106 = 3,627,795,106/x
  3. Step 3: Cross multiply
    1,668,764,129x = 3,627,795,106 × 3,627,795,106
  4. Step 4: Simplify right side
    1,668,764,129x = 13,160,897,331,117,551,616
  5. Step 5: Solve for x
    x = 13,160,897,331,117,551,616/1,668,764,129
  6. Step 6: Final answer
    x = 7,886,613,274.10

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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.