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Finding the Third Proportional to 529,865,192,787 and 1,155,630,409,080

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Solution

The third proportional to 529,865,192,787 and 1,155,630,409,080 is: 2,520,417,760,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,865,192,787 : 1,155,630,409,080 = 1,155,630,409,080 : x
  2. Step 2: Convert to fraction form
    529,865,192,787/1,155,630,409,080 = 1,155,630,409,080/x
  3. Step 3: Cross multiply
    529,865,192,787x = 1,155,630,409,080 × 1,155,630,409,080
  4. Step 4: Simplify right side
    529,865,192,787x = 1,335,481,642,390,408,214,347,776
  5. Step 5: Solve for x
    x = 1,335,481,642,390,408,214,347,776/529,865,192,787
  6. Step 6: Final answer
    x = 2,520,417,760,158.96

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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.