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Finding the Third Proportional to 57,485,818,143 and 125,808,581,835

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Solution

The third proportional to 57,485,818,143 and 125,808,581,835 is: 275,333,982,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,485,818,143 : 125,808,581,835 = 125,808,581,835 : x
  2. Step 2: Convert to fraction form
    57,485,818,143/125,808,581,835 = 125,808,581,835/x
  3. Step 3: Cross multiply
    57,485,818,143x = 125,808,581,835 × 125,808,581,835
  4. Step 4: Simplify right side
    57,485,818,143x = 15,827,799,263,333,891,178,496
  5. Step 5: Solve for x
    x = 15,827,799,263,333,891,178,496/57,485,818,143
  6. Step 6: Final answer
    x = 275,333,982,791.39

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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.