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Finding the Third Proportional to 2,901,312 and 6,230,702.25

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Solution

The third proportional to 2,901,312 and 6,230,702.25 is: 13,380,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901,312 : 6,230,702.25 = 6,230,702.25 : x
  2. Step 2: Convert to fraction form
    2,901,312/6,230,702.25 = 6,230,702.25/x
  3. Step 3: Cross multiply
    2,901,312x = 6,230,702.25 × 6,230,702.25
  4. Step 4: Simplify right side
    2,901,312x = 38,821,650,528,155.06
  5. Step 5: Solve for x
    x = 38,821,650,528,155.06/2,901,312
  6. Step 6: Final answer
    x = 13,380,722.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.