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Finding the Third Proportional to 58,532,472,546.75 and 93,136,670,368.88

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Solution

The third proportional to 58,532,472,546.75 and 93,136,670,368.88 is: 148,198,751,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,532,472,546.75 : 93,136,670,368.88 = 93,136,670,368.88 : x
  2. Step 2: Convert to fraction form
    58,532,472,546.75/93,136,670,368.88 = 93,136,670,368.88/x
  3. Step 3: Cross multiply
    58,532,472,546.75x = 93,136,670,368.88 × 93,136,670,368.88
  4. Step 4: Simplify right side
    58,532,472,546.75x = 8,674,439,367,400,478,474,240
  5. Step 5: Solve for x
    x = 8,674,439,367,400,478,474,240/58,532,472,546.75
  6. Step 6: Final answer
    x = 148,198,751,735.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.