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Finding the Third Proportional to 66,544,759,352 and 147,967,977,136

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Solution

The third proportional to 66,544,759,352 and 147,967,977,136 is: 329,019,482,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,544,759,352 : 147,967,977,136 = 147,967,977,136 : x
  2. Step 2: Convert to fraction form
    66,544,759,352/147,967,977,136 = 147,967,977,136/x
  3. Step 3: Cross multiply
    66,544,759,352x = 147,967,977,136 × 147,967,977,136
  4. Step 4: Simplify right side
    66,544,759,352x = 21,894,522,257,719,817,142,272
  5. Step 5: Solve for x
    x = 21,894,522,257,719,817,142,272/66,544,759,352
  6. Step 6: Final answer
    x = 329,019,482,088.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.