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Finding the Third Proportional to 484,011,024 and 1,062,065,184

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Solution

The third proportional to 484,011,024 and 1,062,065,184 is: 2,330,489,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,011,024 : 1,062,065,184 = 1,062,065,184 : x
  2. Step 2: Convert to fraction form
    484,011,024/1,062,065,184 = 1,062,065,184/x
  3. Step 3: Cross multiply
    484,011,024x = 1,062,065,184 × 1,062,065,184
  4. Step 4: Simplify right side
    484,011,024x = 1,127,982,455,064,953,856
  5. Step 5: Solve for x
    x = 1,127,982,455,064,953,856/484,011,024
  6. Step 6: Final answer
    x = 2,330,489,181.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.