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Finding the Third Proportional to 11,202,848 and 23,999,776

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Solution

The third proportional to 11,202,848 and 23,999,776 is: 51,414,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202,848 : 23,999,776 = 23,999,776 : x
  2. Step 2: Convert to fraction form
    11,202,848/23,999,776 = 23,999,776/x
  3. Step 3: Cross multiply
    11,202,848x = 23,999,776 × 23,999,776
  4. Step 4: Simplify right side
    11,202,848x = 575,989,248,050,176
  5. Step 5: Solve for x
    x = 575,989,248,050,176/11,202,848
  6. Step 6: Final answer
    x = 51,414,537.45

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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.