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Finding the Third Proportional to 582,828,040.13 and 1,267,773,714.56

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Solution

The third proportional to 582,828,040.13 and 1,267,773,714.56 is: 2,757,674,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,828,040.13 : 1,267,773,714.56 = 1,267,773,714.56 : x
  2. Step 2: Convert to fraction form
    582,828,040.13/1,267,773,714.56 = 1,267,773,714.56/x
  3. Step 3: Cross multiply
    582,828,040.13x = 1,267,773,714.56 × 1,267,773,714.56
  4. Step 4: Simplify right side
    582,828,040.13x = 1,607,250,191,335,599,104
  5. Step 5: Solve for x
    x = 1,607,250,191,335,599,104/582,828,040.13
  6. Step 6: Final answer
    x = 2,757,674,786.87

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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.