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Finding the Third Proportional to 23,645,931.75 and 35,638,029

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Solution

The third proportional to 23,645,931.75 and 35,638,029 is: 53,711,950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645,931.75 : 35,638,029 = 35,638,029 : x
  2. Step 2: Convert to fraction form
    23,645,931.75/35,638,029 = 35,638,029/x
  3. Step 3: Cross multiply
    23,645,931.75x = 35,638,029 × 35,638,029
  4. Step 4: Simplify right side
    23,645,931.75x = 1,270,069,111,004,841
  5. Step 5: Solve for x
    x = 1,270,069,111,004,841/23,645,931.75
  6. Step 6: Final answer
    x = 53,711,950.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.