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Finding the Third Proportional to 40,909,759,309,812 and 89,021,286,061,080

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Solution

The third proportional to 40,909,759,309,812 and 89,021,286,061,080 is: 193,713,908,506,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,909,759,309,812 : 89,021,286,061,080 = 89,021,286,061,080 : x
  2. Step 2: Convert to fraction form
    40,909,759,309,812/89,021,286,061,080 = 89,021,286,061,080/x
  3. Step 3: Cross multiply
    40,909,759,309,812x = 89,021,286,061,080 × 89,021,286,061,080
  4. Step 4: Simplify right side
    40,909,759,309,812x = 7,924,789,371,968,636,148,080,705,536
  5. Step 5: Solve for x
    x = 7,924,789,371,968,636,148,080,705,536/40,909,759,309,812
  6. Step 6: Final answer
    x = 193,713,908,506,616.78

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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.