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Finding the Third Proportional to 648,634,908 and 1,399,306,326

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Solution

The third proportional to 648,634,908 and 1,399,306,326 is: 3,018,736,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,634,908 : 1,399,306,326 = 1,399,306,326 : x
  2. Step 2: Convert to fraction form
    648,634,908/1,399,306,326 = 1,399,306,326/x
  3. Step 3: Cross multiply
    648,634,908x = 1,399,306,326 × 1,399,306,326
  4. Step 4: Simplify right side
    648,634,908x = 1,958,058,193,983,618,304
  5. Step 5: Solve for x
    x = 1,958,058,193,983,618,304/648,634,908
  6. Step 6: Final answer
    x = 3,018,736,996.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.