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Finding the Third Proportional to 2,353,623.75 and 3,635,368.50

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Solution

The third proportional to 2,353,623.75 and 3,635,368.50 is: 5,615,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353,623.75 : 3,635,368.50 = 3,635,368.50 : x
  2. Step 2: Convert to fraction form
    2,353,623.75/3,635,368.50 = 3,635,368.50/x
  3. Step 3: Cross multiply
    2,353,623.75x = 3,635,368.50 × 3,635,368.50
  4. Step 4: Simplify right side
    2,353,623.75x = 13,215,904,130,792.25
  5. Step 5: Solve for x
    x = 13,215,904,130,792.25/2,353,623.75
  6. Step 6: Final answer
    x = 5,615,130.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.