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Finding the Third Proportional to 2,006,730,598 and 4,320,988,364

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Solution

The third proportional to 2,006,730,598 and 4,320,988,364 is: 9,304,158,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,730,598 : 4,320,988,364 = 4,320,988,364 : x
  2. Step 2: Convert to fraction form
    2,006,730,598/4,320,988,364 = 4,320,988,364/x
  3. Step 3: Cross multiply
    2,006,730,598x = 4,320,988,364 × 4,320,988,364
  4. Step 4: Simplify right side
    2,006,730,598x = 18,670,940,441,823,395,840
  5. Step 5: Solve for x
    x = 18,670,940,441,823,395,840/2,006,730,598
  6. Step 6: Final answer
    x = 9,304,158,944.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.