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Finding the Third Proportional to 702,908,532 and 1,463,995,800

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Solution

The third proportional to 702,908,532 and 1,463,995,800 is: 3,049,164,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,908,532 : 1,463,995,800 = 1,463,995,800 : x
  2. Step 2: Convert to fraction form
    702,908,532/1,463,995,800 = 1,463,995,800/x
  3. Step 3: Cross multiply
    702,908,532x = 1,463,995,800 × 1,463,995,800
  4. Step 4: Simplify right side
    702,908,532x = 2,143,283,702,417,639,936
  5. Step 5: Solve for x
    x = 2,143,283,702,417,639,936/702,908,532
  6. Step 6: Final answer
    x = 3,049,164,442.95

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Why These Related Problems?

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