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Finding the Third Proportional to 3,772,077,106 and 7,935,055,311

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Solution

The third proportional to 3,772,077,106 and 7,935,055,311 is: 16,692,421,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772,077,106 : 7,935,055,311 = 7,935,055,311 : x
  2. Step 2: Convert to fraction form
    3,772,077,106/7,935,055,311 = 7,935,055,311/x
  3. Step 3: Cross multiply
    3,772,077,106x = 7,935,055,311 × 7,935,055,311
  4. Step 4: Simplify right side
    3,772,077,106x = 62,965,102,788,629,307,392
  5. Step 5: Solve for x
    x = 62,965,102,788,629,307,392/3,772,077,106
  6. Step 6: Final answer
    x = 16,692,421,978.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.