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Finding the Third Proportional to 6,866,486.63 and 9,600,370.13

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Solution

The third proportional to 6,866,486.63 and 9,600,370.13 is: 13,422,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866,486.63 : 9,600,370.13 = 9,600,370.13 : x
  2. Step 2: Convert to fraction form
    6,866,486.63/9,600,370.13 = 9,600,370.13/x
  3. Step 3: Cross multiply
    6,866,486.63x = 9,600,370.13 × 9,600,370.13
  4. Step 4: Simplify right side
    6,866,486.63x = 92,167,106,536,992.52
  5. Step 5: Solve for x
    x = 92,167,106,536,992.52/6,866,486.63
  6. Step 6: Final answer
    x = 13,422,746.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.