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Finding the Third Proportional to 10,849,474 and 23,208,971

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Solution

The third proportional to 10,849,474 and 23,208,971 is: 49,648,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849,474 : 23,208,971 = 23,208,971 : x
  2. Step 2: Convert to fraction form
    10,849,474/23,208,971 = 23,208,971/x
  3. Step 3: Cross multiply
    10,849,474x = 23,208,971 × 23,208,971
  4. Step 4: Simplify right side
    10,849,474x = 538,656,334,878,841
  5. Step 5: Solve for x
    x = 538,656,334,878,841/10,849,474
  6. Step 6: Final answer
    x = 49,648,152.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.