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Finding the Third Proportional to 542,429,705 and 1,177,330,138

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Solution

The third proportional to 542,429,705 and 1,177,330,138 is: 2,555,365,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,429,705 : 1,177,330,138 = 1,177,330,138 : x
  2. Step 2: Convert to fraction form
    542,429,705/1,177,330,138 = 1,177,330,138/x
  3. Step 3: Cross multiply
    542,429,705x = 1,177,330,138 × 1,177,330,138
  4. Step 4: Simplify right side
    542,429,705x = 1,386,106,253,843,099,136
  5. Step 5: Solve for x
    x = 1,386,106,253,843,099,136/542,429,705
  6. Step 6: Final answer
    x = 2,555,365,683.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.