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Finding the Third Proportional to 34,300,182,066 and 74,298,671,400

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Solution

The third proportional to 34,300,182,066 and 74,298,671,400 is: 160,940,620,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,300,182,066 : 74,298,671,400 = 74,298,671,400 : x
  2. Step 2: Convert to fraction form
    34,300,182,066/74,298,671,400 = 74,298,671,400/x
  3. Step 3: Cross multiply
    34,300,182,066x = 74,298,671,400 × 74,298,671,400
  4. Step 4: Simplify right side
    34,300,182,066x = 5,520,292,571,805,178,134,528
  5. Step 5: Solve for x
    x = 5,520,292,571,805,178,134,528/34,300,182,066
  6. Step 6: Final answer
    x = 160,940,620,116.33

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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.