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Finding the Third Proportional to 4,807,922 and 7,487,607

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Solution

The third proportional to 4,807,922 and 7,487,607 is: 11,660,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807,922 : 7,487,607 = 7,487,607 : x
  2. Step 2: Convert to fraction form
    4,807,922/7,487,607 = 7,487,607/x
  3. Step 3: Cross multiply
    4,807,922x = 7,487,607 × 7,487,607
  4. Step 4: Simplify right side
    4,807,922x = 56,064,258,586,449
  5. Step 5: Solve for x
    x = 56,064,258,586,449/4,807,922
  6. Step 6: Final answer
    x = 11,660,808.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.