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Finding the Third Proportional to 23,168,187 and 31,429,741.50

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Solution

The third proportional to 23,168,187 and 31,429,741.50 is: 42,637,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,168,187 : 31,429,741.50 = 31,429,741.50 : x
  2. Step 2: Convert to fraction form
    23,168,187/31,429,741.50 = 31,429,741.50/x
  3. Step 3: Cross multiply
    23,168,187x = 31,429,741.50 × 31,429,741.50
  4. Step 4: Simplify right side
    23,168,187x = 987,828,650,756,822.25
  5. Step 5: Solve for x
    x = 987,828,650,756,822.25/23,168,187
  6. Step 6: Final answer
    x = 42,637,287.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.