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Finding the Third Proportional to 55,199,683,952 and 90,126,570,828

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Solution

The third proportional to 55,199,683,952 and 90,126,570,828 is: 147,152,994,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,199,683,952 : 90,126,570,828 = 90,126,570,828 : x
  2. Step 2: Convert to fraction form
    55,199,683,952/90,126,570,828 = 90,126,570,828/x
  3. Step 3: Cross multiply
    55,199,683,952x = 90,126,570,828 × 90,126,570,828
  4. Step 4: Simplify right side
    55,199,683,952x = 8,122,798,769,214,500,896,768
  5. Step 5: Solve for x
    x = 8,122,798,769,214,500,896,768/55,199,683,952
  6. Step 6: Final answer
    x = 147,152,994,141.74

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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.