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Finding the Third Proportional to 57,695,503,808 and 125,322,963,800

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Solution

The third proportional to 57,695,503,808 and 125,322,963,800 is: 272,219,570,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,695,503,808 : 125,322,963,800 = 125,322,963,800 : x
  2. Step 2: Convert to fraction form
    57,695,503,808/125,322,963,800 = 125,322,963,800/x
  3. Step 3: Cross multiply
    57,695,503,808x = 125,322,963,800 × 125,322,963,800
  4. Step 4: Simplify right side
    57,695,503,808x = 15,705,845,255,616,109,477,888
  5. Step 5: Solve for x
    x = 15,705,845,255,616,109,477,888/57,695,503,808
  6. Step 6: Final answer
    x = 272,219,570,313.18

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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.