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Finding the Third Proportional to 4,138,978,907,312 and 9,058,217,894,128

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Solution

The third proportional to 4,138,978,907,312 and 9,058,217,894,128 is: 19,824,046,764,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138,978,907,312 : 9,058,217,894,128 = 9,058,217,894,128 : x
  2. Step 2: Convert to fraction form
    4,138,978,907,312/9,058,217,894,128 = 9,058,217,894,128/x
  3. Step 3: Cross multiply
    4,138,978,907,312x = 9,058,217,894,128 × 9,058,217,894,128
  4. Step 4: Simplify right side
    4,138,978,907,312x = 82,051,311,417,500,691,488,309,248
  5. Step 5: Solve for x
    x = 82,051,311,417,500,691,488,309,248/4,138,978,907,312
  6. Step 6: Final answer
    x = 19,824,046,764,903.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.