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Finding the Third Proportional to 2,445,386 and 5,363,164

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Solution

The third proportional to 2,445,386 and 5,363,164 is: 11,762,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445,386 : 5,363,164 = 5,363,164 : x
  2. Step 2: Convert to fraction form
    2,445,386/5,363,164 = 5,363,164/x
  3. Step 3: Cross multiply
    2,445,386x = 5,363,164 × 5,363,164
  4. Step 4: Simplify right side
    2,445,386x = 28,763,528,090,896
  5. Step 5: Solve for x
    x = 28,763,528,090,896/2,445,386
  6. Step 6: Final answer
    x = 11,762,367.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.