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Finding the Third Proportional to 4,896,384 and 10,605,888

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Solution

The third proportional to 4,896,384 and 10,605,888 is: 22,973,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896,384 : 10,605,888 = 10,605,888 : x
  2. Step 2: Convert to fraction form
    4,896,384/10,605,888 = 10,605,888/x
  3. Step 3: Cross multiply
    4,896,384x = 10,605,888 × 10,605,888
  4. Step 4: Simplify right side
    4,896,384x = 112,484,860,268,544
  5. Step 5: Solve for x
    x = 112,484,860,268,544/4,896,384
  6. Step 6: Final answer
    x = 22,973,047.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.