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Finding the Third Proportional to 9,277,902 and 13,638,798

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Solution

The third proportional to 9,277,902 and 13,638,798 is: 20,049,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277,902 : 13,638,798 = 13,638,798 : x
  2. Step 2: Convert to fraction form
    9,277,902/13,638,798 = 13,638,798/x
  3. Step 3: Cross multiply
    9,277,902x = 13,638,798 × 13,638,798
  4. Step 4: Simplify right side
    9,277,902x = 186,016,810,884,804
  5. Step 5: Solve for x
    x = 186,016,810,884,804/9,277,902
  6. Step 6: Final answer
    x = 20,049,447.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.