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Finding the Third Proportional to 4,591,518,407,226 and 9,864,432,926,532

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Solution

The third proportional to 4,591,518,407,226 and 9,864,432,926,532 is: 21,192,779,453,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591,518,407,226 : 9,864,432,926,532 = 9,864,432,926,532 : x
  2. Step 2: Convert to fraction form
    4,591,518,407,226/9,864,432,926,532 = 9,864,432,926,532/x
  3. Step 3: Cross multiply
    4,591,518,407,226x = 9,864,432,926,532 × 9,864,432,926,532
  4. Step 4: Simplify right side
    4,591,518,407,226x = 97,307,036,962,048,676,091,396,096
  5. Step 5: Solve for x
    x = 97,307,036,962,048,676,091,396,096/4,591,518,407,226
  6. Step 6: Final answer
    x = 21,192,779,453,722.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.