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Finding the Third Proportional to 7,262,804 and 15,727,971

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Solution

The third proportional to 7,262,804 and 15,727,971 is: 34,059,720.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262,804 : 15,727,971 = 15,727,971 : x
  2. Step 2: Convert to fraction form
    7,262,804/15,727,971 = 15,727,971/x
  3. Step 3: Cross multiply
    7,262,804x = 15,727,971 × 15,727,971
  4. Step 4: Simplify right side
    7,262,804x = 247,369,071,776,841
  5. Step 5: Solve for x
    x = 247,369,071,776,841/7,262,804
  6. Step 6: Final answer
    x = 34,059,720.15

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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.