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Finding the Third Proportional to 77,643,824 and 121,789,707

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Solution

The third proportional to 77,643,824 and 121,789,707 is: 191,035,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,643,824 : 121,789,707 = 121,789,707 : x
  2. Step 2: Convert to fraction form
    77,643,824/121,789,707 = 121,789,707/x
  3. Step 3: Cross multiply
    77,643,824x = 121,789,707 × 121,789,707
  4. Step 4: Simplify right side
    77,643,824x = 14,832,732,731,145,848
  5. Step 5: Solve for x
    x = 14,832,732,731,145,848/77,643,824
  6. Step 6: Final answer
    x = 191,035,577.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.