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Finding the Third Proportional to 55,374,023 and 85,963,269

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Solution

The third proportional to 55,374,023 and 85,963,269 is: 133,450,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,374,023 : 85,963,269 = 85,963,269 : x
  2. Step 2: Convert to fraction form
    55,374,023/85,963,269 = 85,963,269/x
  3. Step 3: Cross multiply
    55,374,023x = 85,963,269 × 85,963,269
  4. Step 4: Simplify right side
    55,374,023x = 7,389,683,617,166,361
  5. Step 5: Solve for x
    x = 7,389,683,617,166,361/55,374,023
  6. Step 6: Final answer
    x = 133,450,365.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.