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Finding the Third Proportional to 4,477,068,209 and 9,583,058,088

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Solution

The third proportional to 4,477,068,209 and 9,583,058,088 is: 20,512,308,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477,068,209 : 9,583,058,088 = 9,583,058,088 : x
  2. Step 2: Convert to fraction form
    4,477,068,209/9,583,058,088 = 9,583,058,088/x
  3. Step 3: Cross multiply
    4,477,068,209x = 9,583,058,088 × 9,583,058,088
  4. Step 4: Simplify right side
    4,477,068,209x = 91,835,002,317,982,220,288
  5. Step 5: Solve for x
    x = 91,835,002,317,982,220,288/4,477,068,209
  6. Step 6: Final answer
    x = 20,512,308,062.09

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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.