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Finding the Third Proportional to 1,054,036,216 and 2,289,520,968

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Solution

The third proportional to 1,054,036,216 and 2,289,520,968 is: 4,973,174,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,036,216 : 2,289,520,968 = 2,289,520,968 : x
  2. Step 2: Convert to fraction form
    1,054,036,216/2,289,520,968 = 2,289,520,968/x
  3. Step 3: Cross multiply
    1,054,036,216x = 2,289,520,968 × 2,289,520,968
  4. Step 4: Simplify right side
    1,054,036,216x = 5,241,906,262,911,656,960
  5. Step 5: Solve for x
    x = 5,241,906,262,911,656,960/1,054,036,216
  6. Step 6: Final answer
    x = 4,973,174,719.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.