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Finding the Third Proportional to 7,207,383 and 9,707,854.50

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Solution

The third proportional to 7,207,383 and 9,707,854.50 is: 13,075,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207,383 : 9,707,854.50 = 9,707,854.50 : x
  2. Step 2: Convert to fraction form
    7,207,383/9,707,854.50 = 9,707,854.50/x
  3. Step 3: Cross multiply
    7,207,383x = 9,707,854.50 × 9,707,854.50
  4. Step 4: Simplify right side
    7,207,383x = 94,242,438,993,170.25
  5. Step 5: Solve for x
    x = 94,242,438,993,170.25/7,207,383
  6. Step 6: Final answer
    x = 13,075,819.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.