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Finding the Third Proportional to 9,773,703 and 12,852,452.25

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Solution

The third proportional to 9,773,703 and 12,852,452.25 is: 16,901,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773,703 : 12,852,452.25 = 12,852,452.25 : x
  2. Step 2: Convert to fraction form
    9,773,703/12,852,452.25 = 12,852,452.25/x
  3. Step 3: Cross multiply
    9,773,703x = 12,852,452.25 × 12,852,452.25
  4. Step 4: Simplify right side
    9,773,703x = 165,185,528,838,530.06
  5. Step 5: Solve for x
    x = 165,185,528,838,530.06/9,773,703
  6. Step 6: Final answer
    x = 16,901,017.85

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.