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Finding the Third Proportional to 847,760,272 and 1,145,039,226

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Solution

The third proportional to 847,760,272 and 1,145,039,226 is: 1,546,563,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,760,272 : 1,145,039,226 = 1,145,039,226 : x
  2. Step 2: Convert to fraction form
    847,760,272/1,145,039,226 = 1,145,039,226/x
  3. Step 3: Cross multiply
    847,760,272x = 1,145,039,226 × 1,145,039,226
  4. Step 4: Simplify right side
    847,760,272x = 1,311,114,829,078,679,040
  5. Step 5: Solve for x
    x = 1,311,114,829,078,679,040/847,760,272
  6. Step 6: Final answer
    x = 1,546,563,188.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.