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Finding the Third Proportional to 9,071,505 and 14,046,032.25

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Solution

The third proportional to 9,071,505 and 14,046,032.25 is: 21,748,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071,505 : 14,046,032.25 = 14,046,032.25 : x
  2. Step 2: Convert to fraction form
    9,071,505/14,046,032.25 = 14,046,032.25/x
  3. Step 3: Cross multiply
    9,071,505x = 14,046,032.25 × 14,046,032.25
  4. Step 4: Simplify right side
    9,071,505x = 197,291,021,968,040.06
  5. Step 5: Solve for x
    x = 197,291,021,968,040.06/9,071,505
  6. Step 6: Final answer
    x = 21,748,433.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.