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Finding the Third Proportional to 7,865,563 and 16,824,140

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Solution

The third proportional to 7,865,563 and 16,824,140 is: 35,986,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865,563 : 16,824,140 = 16,824,140 : x
  2. Step 2: Convert to fraction form
    7,865,563/16,824,140 = 16,824,140/x
  3. Step 3: Cross multiply
    7,865,563x = 16,824,140 × 16,824,140
  4. Step 4: Simplify right side
    7,865,563x = 283,051,686,739,600
  5. Step 5: Solve for x
    x = 283,051,686,739,600/7,865,563
  6. Step 6: Final answer
    x = 35,986,195.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.