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Finding the Third Proportional to 1,655,578,224 and 3,605,089,240

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Solution

The third proportional to 1,655,578,224 and 3,605,089,240 is: 7,850,229,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655,578,224 : 3,605,089,240 = 3,605,089,240 : x
  2. Step 2: Convert to fraction form
    1,655,578,224/3,605,089,240 = 3,605,089,240/x
  3. Step 3: Cross multiply
    1,655,578,224x = 3,605,089,240 × 3,605,089,240
  4. Step 4: Simplify right side
    1,655,578,224x = 12,996,668,428,363,778,048
  5. Step 5: Solve for x
    x = 12,996,668,428,363,778,048/1,655,578,224
  6. Step 6: Final answer
    x = 7,850,229,146.51

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Why These Related Problems?

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