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Finding the Third Proportional to 40,909,759,304,200 and 89,021,286,050,048

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Solution

The third proportional to 40,909,759,304,200 and 89,021,286,050,048 is: 193,713,908,485,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,909,759,304,200 : 89,021,286,050,048 = 89,021,286,050,048 : x
  2. Step 2: Convert to fraction form
    40,909,759,304,200/89,021,286,050,048 = 89,021,286,050,048/x
  3. Step 3: Cross multiply
    40,909,759,304,200x = 89,021,286,050,048 × 89,021,286,050,048
  4. Step 4: Simplify right side
    40,909,759,304,200x = 7,924,789,370,004,470,775,244,914,688
  5. Step 5: Solve for x
    x = 7,924,789,370,004,470,775,244,914,688/40,909,759,304,200
  6. Step 6: Final answer
    x = 193,713,908,485,178.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.