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Finding the Third Proportional to 1,140,645,608 and 2,444,996,896

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Solution

The third proportional to 1,140,645,608 and 2,444,996,896 is: 5,240,900,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,645,608 : 2,444,996,896 = 2,444,996,896 : x
  2. Step 2: Convert to fraction form
    1,140,645,608/2,444,996,896 = 2,444,996,896/x
  3. Step 3: Cross multiply
    1,140,645,608x = 2,444,996,896 × 2,444,996,896
  4. Step 4: Simplify right side
    1,140,645,608x = 5,978,009,821,449,634,816
  5. Step 5: Solve for x
    x = 5,978,009,821,449,634,816/1,140,645,608
  6. Step 6: Final answer
    x = 5,240,900,223.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.