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Finding the Third Proportional to 66,566,519,577 and 142,558,283,070

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Solution

The third proportional to 66,566,519,577 and 142,558,283,070 is: 305,301,587,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,566,519,577 : 142,558,283,070 = 142,558,283,070 : x
  2. Step 2: Convert to fraction form
    66,566,519,577/142,558,283,070 = 142,558,283,070/x
  3. Step 3: Cross multiply
    66,566,519,577x = 142,558,283,070 × 142,558,283,070
  4. Step 4: Simplify right side
    66,566,519,577x = 20,322,864,071,866,249,641,984
  5. Step 5: Solve for x
    x = 20,322,864,071,866,249,641,984/66,566,519,577
  6. Step 6: Final answer
    x = 305,301,587,059.21

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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.