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Finding the Third Proportional to 15,806,262,577 and 34,367,410,323

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Solution

The third proportional to 15,806,262,577 and 34,367,410,323 is: 74,724,741,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806,262,577 : 34,367,410,323 = 34,367,410,323 : x
  2. Step 2: Convert to fraction form
    15,806,262,577/34,367,410,323 = 34,367,410,323/x
  3. Step 3: Cross multiply
    15,806,262,577x = 34,367,410,323 × 34,367,410,323
  4. Step 4: Simplify right side
    15,806,262,577x = 1,181,118,892,309,446,918,144
  5. Step 5: Solve for x
    x = 1,181,118,892,309,446,918,144/15,806,262,577
  6. Step 6: Final answer
    x = 74,724,741,953.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.