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Finding the Third Proportional to 9,830,525 and 14,745,789

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Solution

The third proportional to 9,830,525 and 14,745,789 is: 22,118,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830,525 : 14,745,789 = 14,745,789 : x
  2. Step 2: Convert to fraction form
    9,830,525/14,745,789 = 14,745,789/x
  3. Step 3: Cross multiply
    9,830,525x = 14,745,789 × 14,745,789
  4. Step 4: Simplify right side
    9,830,525x = 217,438,293,232,521
  5. Step 5: Solve for x
    x = 217,438,293,232,521/9,830,525
  6. Step 6: Final answer
    x = 22,118,685.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.