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Finding the Third Proportional to 2,615,307.50 and 5,643,470

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Solution

The third proportional to 2,615,307.50 and 5,643,470 is: 12,177,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615,307.50 : 5,643,470 = 5,643,470 : x
  2. Step 2: Convert to fraction form
    2,615,307.50/5,643,470 = 5,643,470/x
  3. Step 3: Cross multiply
    2,615,307.50x = 5,643,470 × 5,643,470
  4. Step 4: Simplify right side
    2,615,307.50x = 31,848,753,640,900
  5. Step 5: Solve for x
    x = 31,848,753,640,900/2,615,307.50
  6. Step 6: Final answer
    x = 12,177,823.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.