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Finding the Third Proportional to 3,064,875.19 and 6,503,340.38

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Solution

The third proportional to 3,064,875.19 and 6,503,340.38 is: 13,799,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064,875.19 : 6,503,340.38 = 6,503,340.38 : x
  2. Step 2: Convert to fraction form
    3,064,875.19/6,503,340.38 = 6,503,340.38/x
  3. Step 3: Cross multiply
    3,064,875.19x = 6,503,340.38 × 6,503,340.38
  4. Step 4: Simplify right side
    3,064,875.19x = 42,293,436,033,105.14
  5. Step 5: Solve for x
    x = 42,293,436,033,105.14/3,064,875.19
  6. Step 6: Final answer
    x = 13,799,399.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.