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Finding the Third Proportional to 585,087,648 and 1,218,603,012

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Solution

The third proportional to 585,087,648 and 1,218,603,012 is: 2,538,069,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,087,648 : 1,218,603,012 = 1,218,603,012 : x
  2. Step 2: Convert to fraction form
    585,087,648/1,218,603,012 = 1,218,603,012/x
  3. Step 3: Cross multiply
    585,087,648x = 1,218,603,012 × 1,218,603,012
  4. Step 4: Simplify right side
    585,087,648x = 1,484,993,300,855,472,128
  5. Step 5: Solve for x
    x = 1,484,993,300,855,472,128/585,087,648
  6. Step 6: Final answer
    x = 2,538,069,818.99

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.