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Finding the Third Proportional to 54,242,584 and 128,023,036

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Solution

The third proportional to 54,242,584 and 128,023,036 is: 302,159,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,242,584 : 128,023,036 = 128,023,036 : x
  2. Step 2: Convert to fraction form
    54,242,584/128,023,036 = 128,023,036/x
  3. Step 3: Cross multiply
    54,242,584x = 128,023,036 × 128,023,036
  4. Step 4: Simplify right side
    54,242,584x = 16,389,897,746,657,296
  5. Step 5: Solve for x
    x = 16,389,897,746,657,296/54,242,584
  6. Step 6: Final answer
    x = 302,159,236.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.