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Finding the Third Proportional to 344,566,710 and 756,084,992.63

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Solution

The third proportional to 344,566,710 and 756,084,992.63 is: 1,659,082,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,566,710 : 756,084,992.63 = 756,084,992.63 : x
  2. Step 2: Convert to fraction form
    344,566,710/756,084,992.63 = 756,084,992.63/x
  3. Step 3: Cross multiply
    344,566,710x = 756,084,992.63 × 756,084,992.63
  4. Step 4: Simplify right side
    344,566,710x = 571,664,516,072,746,304
  5. Step 5: Solve for x
    x = 571,664,516,072,746,304/344,566,710
  6. Step 6: Final answer
    x = 1,659,082,260.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.