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Finding the Third Proportional to 988,739,728 and 1,346,494,746

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Solution

The third proportional to 988,739,728 and 1,346,494,746 is: 1,833,696,016.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,739,728 : 1,346,494,746 = 1,346,494,746 : x
  2. Step 2: Convert to fraction form
    988,739,728/1,346,494,746 = 1,346,494,746/x
  3. Step 3: Cross multiply
    988,739,728x = 1,346,494,746 × 1,346,494,746
  4. Step 4: Simplify right side
    988,739,728x = 1,813,048,101,005,604,608
  5. Step 5: Solve for x
    x = 1,813,048,101,005,604,608/988,739,728
  6. Step 6: Final answer
    x = 1,833,696,016.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.