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Finding the Third Proportional to 77,307,666 and 165,681,684

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Solution

The third proportional to 77,307,666 and 165,681,684 is: 355,080,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,307,666 : 165,681,684 = 165,681,684 : x
  2. Step 2: Convert to fraction form
    77,307,666/165,681,684 = 165,681,684/x
  3. Step 3: Cross multiply
    77,307,666x = 165,681,684 × 165,681,684
  4. Step 4: Simplify right side
    77,307,666x = 27,450,420,413,075,856
  5. Step 5: Solve for x
    x = 27,450,420,413,075,856/77,307,666
  6. Step 6: Final answer
    x = 355,080,185.88

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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.