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Finding the Third Proportional to 55,199,683,008 and 90,126,569,376

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Solution

The third proportional to 55,199,683,008 and 90,126,569,376 is: 147,152,991,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,199,683,008 : 90,126,569,376 = 90,126,569,376 : x
  2. Step 2: Convert to fraction form
    55,199,683,008/90,126,569,376 = 90,126,569,376/x
  3. Step 3: Cross multiply
    55,199,683,008x = 90,126,569,376 × 90,126,569,376
  4. Step 4: Simplify right side
    55,199,683,008x = 8,122,798,507,486,940,758,016
  5. Step 5: Solve for x
    x = 8,122,798,507,486,940,758,016/55,199,683,008
  6. Step 6: Final answer
    x = 147,152,991,916.81

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.