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Finding the Third Proportional to 4,646,918 and 10,120,594

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Solution

The third proportional to 4,646,918 and 10,120,594 is: 22,041,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646,918 : 10,120,594 = 10,120,594 : x
  2. Step 2: Convert to fraction form
    4,646,918/10,120,594 = 10,120,594/x
  3. Step 3: Cross multiply
    4,646,918x = 10,120,594 × 10,120,594
  4. Step 4: Simplify right side
    4,646,918x = 102,426,422,912,836
  5. Step 5: Solve for x
    x = 102,426,422,912,836/4,646,918
  6. Step 6: Final answer
    x = 22,041,796.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.