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Finding the Third Proportional to 74,695,667,374 and 161,317,683,884

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Solution

The third proportional to 74,695,667,374 and 161,317,683,884 is: 348,392,297,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,695,667,374 : 161,317,683,884 = 161,317,683,884 : x
  2. Step 2: Convert to fraction form
    74,695,667,374/161,317,683,884 = 161,317,683,884/x
  3. Step 3: Cross multiply
    74,695,667,374x = 161,317,683,884 × 161,317,683,884
  4. Step 4: Simplify right side
    74,695,667,374x = 26,023,395,133,698,154,168,320
  5. Step 5: Solve for x
    x = 26,023,395,133,698,154,168,320/74,695,667,374
  6. Step 6: Final answer
    x = 348,392,297,017.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.