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Finding the Third Proportional to 4,416,426 and 6,646,746

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Solution

The third proportional to 4,416,426 and 6,646,746 is: 10,003,390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416,426 : 6,646,746 = 6,646,746 : x
  2. Step 2: Convert to fraction form
    4,416,426/6,646,746 = 6,646,746/x
  3. Step 3: Cross multiply
    4,416,426x = 6,646,746 × 6,646,746
  4. Step 4: Simplify right side
    4,416,426x = 44,179,232,388,516
  5. Step 5: Solve for x
    x = 44,179,232,388,516/4,416,426
  6. Step 6: Final answer
    x = 10,003,390.16

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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.