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Finding the Third Proportional to 7,765,563 and 11,756,920.50

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Solution

The third proportional to 7,765,563 and 11,756,920.50 is: 17,799,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765,563 : 11,756,920.50 = 11,756,920.50 : x
  2. Step 2: Convert to fraction form
    7,765,563/11,756,920.50 = 11,756,920.50/x
  3. Step 3: Cross multiply
    7,765,563x = 11,756,920.50 × 11,756,920.50
  4. Step 4: Simplify right side
    7,765,563x = 138,225,179,643,320.25
  5. Step 5: Solve for x
    x = 138,225,179,643,320.25/7,765,563
  6. Step 6: Final answer
    x = 17,799,762.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.