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Finding the Third Proportional to 1,409,802,734 and 3,053,911,900

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Solution

The third proportional to 1,409,802,734 and 3,053,911,900 is: 6,615,377,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,802,734 : 3,053,911,900 = 3,053,911,900 : x
  2. Step 2: Convert to fraction form
    1,409,802,734/3,053,911,900 = 3,053,911,900/x
  3. Step 3: Cross multiply
    1,409,802,734x = 3,053,911,900 × 3,053,911,900
  4. Step 4: Simplify right side
    1,409,802,734x = 9,326,377,892,961,609,728
  5. Step 5: Solve for x
    x = 9,326,377,892,961,609,728/1,409,802,734
  6. Step 6: Final answer
    x = 6,615,377,930.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.