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Finding the Third Proportional to 529,865,192,789 and 1,155,630,409,084

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Solution

The third proportional to 529,865,192,789 and 1,155,630,409,084 is: 2,520,417,760,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,865,192,789 : 1,155,630,409,084 = 1,155,630,409,084 : x
  2. Step 2: Convert to fraction form
    529,865,192,789/1,155,630,409,084 = 1,155,630,409,084/x
  3. Step 3: Cross multiply
    529,865,192,789x = 1,155,630,409,084 × 1,155,630,409,084
  4. Step 4: Simplify right side
    529,865,192,789x = 1,335,481,642,399,653,131,452,416
  5. Step 5: Solve for x
    x = 1,335,481,642,399,653,131,452,416/529,865,192,789
  6. Step 6: Final answer
    x = 2,520,417,760,166.90

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