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Finding the Third Proportional to 7,948,461 and 12,606,681

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Solution

The third proportional to 7,948,461 and 12,606,681 is: 19,994,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948,461 : 12,606,681 = 12,606,681 : x
  2. Step 2: Convert to fraction form
    7,948,461/12,606,681 = 12,606,681/x
  3. Step 3: Cross multiply
    7,948,461x = 12,606,681 × 12,606,681
  4. Step 4: Simplify right side
    7,948,461x = 158,928,405,835,761
  5. Step 5: Solve for x
    x = 158,928,405,835,761/7,948,461
  6. Step 6: Final answer
    x = 19,994,865.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.