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Finding the Third Proportional to 77,534,046 and 120,039,732

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Solution

The third proportional to 77,534,046 and 120,039,732 is: 185,847,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,534,046 : 120,039,732 = 120,039,732 : x
  2. Step 2: Convert to fraction form
    77,534,046/120,039,732 = 120,039,732/x
  3. Step 3: Cross multiply
    77,534,046x = 120,039,732 × 120,039,732
  4. Step 4: Simplify right side
    77,534,046x = 14,409,537,258,631,824
  5. Step 5: Solve for x
    x = 14,409,537,258,631,824/77,534,046
  6. Step 6: Final answer
    x = 185,847,869.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.