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Finding the Third Proportional to 707,084,980 and 1,666,795,896

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Solution

The third proportional to 707,084,980 and 1,666,795,896 is: 3,929,101,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,084,980 : 1,666,795,896 = 1,666,795,896 : x
  2. Step 2: Convert to fraction form
    707,084,980/1,666,795,896 = 1,666,795,896/x
  3. Step 3: Cross multiply
    707,084,980x = 1,666,795,896 × 1,666,795,896
  4. Step 4: Simplify right side
    707,084,980x = 2,778,208,558,922,442,752
  5. Step 5: Solve for x
    x = 2,778,208,558,922,442,752/707,084,980
  6. Step 6: Final answer
    x = 3,929,101,363.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.