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Finding the Third Proportional to 21,223,764 and 45,475,848

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Solution

The third proportional to 21,223,764 and 45,475,848 is: 97,440,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,223,764 : 45,475,848 = 45,475,848 : x
  2. Step 2: Convert to fraction form
    21,223,764/45,475,848 = 45,475,848/x
  3. Step 3: Cross multiply
    21,223,764x = 45,475,848 × 45,475,848
  4. Step 4: Simplify right side
    21,223,764x = 2,068,052,751,319,104
  5. Step 5: Solve for x
    x = 2,068,052,751,319,104/21,223,764
  6. Step 6: Final answer
    x = 97,440,432.87

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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.