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Finding the Third Proportional to 23,645,904.75 and 35,637,985.13

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Solution

The third proportional to 23,645,904.75 and 35,637,985.13 is: 53,711,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645,904.75 : 35,637,985.13 = 35,637,985.13 : x
  2. Step 2: Convert to fraction form
    23,645,904.75/35,637,985.13 = 35,637,985.13/x
  3. Step 3: Cross multiply
    23,645,904.75x = 35,637,985.13 × 35,637,985.13
  4. Step 4: Simplify right side
    23,645,904.75x = 1,270,065,983,769,721.25
  5. Step 5: Solve for x
    x = 1,270,065,983,769,721.25/23,645,904.75
  6. Step 6: Final answer
    x = 53,711,879.38

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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.