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Finding the Third Proportional to 7,423,314.75 and 15,525,362.25

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Solution

The third proportional to 7,423,314.75 and 15,525,362.25 is: 32,470,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423,314.75 : 15,525,362.25 = 15,525,362.25 : x
  2. Step 2: Convert to fraction form
    7,423,314.75/15,525,362.25 = 15,525,362.25/x
  3. Step 3: Cross multiply
    7,423,314.75x = 15,525,362.25 × 15,525,362.25
  4. Step 4: Simplify right side
    7,423,314.75x = 241,036,872,993,725.06
  5. Step 5: Solve for x
    x = 241,036,872,993,725.06/7,423,314.75
  6. Step 6: Final answer
    x = 32,470,248.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.