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Finding the Third Proportional to 7,865,673.75 and 17,161,213.50

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Solution

The third proportional to 7,865,673.75 and 17,161,213.50 is: 37,442,088.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865,673.75 : 17,161,213.50 = 17,161,213.50 : x
  2. Step 2: Convert to fraction form
    7,865,673.75/17,161,213.50 = 17,161,213.50/x
  3. Step 3: Cross multiply
    7,865,673.75x = 17,161,213.50 × 17,161,213.50
  4. Step 4: Simplify right side
    7,865,673.75x = 294,507,248,792,582.25
  5. Step 5: Solve for x
    x = 294,507,248,792,582.25/7,865,673.75
  6. Step 6: Final answer
    x = 37,442,088.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.