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Finding the Third Proportional to 60,077,810,146 and 125,099,773,136

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Solution

The third proportional to 60,077,810,146 and 125,099,773,136 is: 260,494,735,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,077,810,146 : 125,099,773,136 = 125,099,773,136 : x
  2. Step 2: Convert to fraction form
    60,077,810,146/125,099,773,136 = 125,099,773,136/x
  3. Step 3: Cross multiply
    60,077,810,146x = 125,099,773,136 × 125,099,773,136
  4. Step 4: Simplify right side
    60,077,810,146x = 15,649,953,238,678,667,001,856
  5. Step 5: Solve for x
    x = 15,649,953,238,678,667,001,856/60,077,810,146
  6. Step 6: Final answer
    x = 260,494,735,088.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.