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Finding the Third Proportional to 66,566,519,574.75 and 142,558,283,065.50

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Solution

The third proportional to 66,566,519,574.75 and 142,558,283,065.50 is: 305,301,587,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,566,519,574.75 : 142,558,283,065.50 = 142,558,283,065.50 : x
  2. Step 2: Convert to fraction form
    66,566,519,574.75/142,558,283,065.50 = 142,558,283,065.50/x
  3. Step 3: Cross multiply
    66,566,519,574.75x = 142,558,283,065.50 × 142,558,283,065.50
  4. Step 4: Simplify right side
    66,566,519,574.75x = 20,322,864,070,583,224,631,296
  5. Step 5: Solve for x
    x = 20,322,864,070,583,224,631,296/66,566,519,574.75
  6. Step 6: Final answer
    x = 305,301,587,050.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.