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Finding the Third Proportional to 3,064,842 and 6,447,264.75

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Solution

The third proportional to 3,064,842 and 6,447,264.75 is: 13,562,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064,842 : 6,447,264.75 = 6,447,264.75 : x
  2. Step 2: Convert to fraction form
    3,064,842/6,447,264.75 = 6,447,264.75/x
  3. Step 3: Cross multiply
    3,064,842x = 6,447,264.75 × 6,447,264.75
  4. Step 4: Simplify right side
    3,064,842x = 41,567,222,756,592.56
  5. Step 5: Solve for x
    x = 41,567,222,756,592.56/3,064,842
  6. Step 6: Final answer
    x = 13,562,598.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.