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Finding the Third Proportional to 706,940,937 and 1,500,054,799.50

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Solution

The third proportional to 706,940,937 and 1,500,054,799.50 is: 3,182,959,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,940,937 : 1,500,054,799.50 = 1,500,054,799.50 : x
  2. Step 2: Convert to fraction form
    706,940,937/1,500,054,799.50 = 1,500,054,799.50/x
  3. Step 3: Cross multiply
    706,940,937x = 1,500,054,799.50 × 1,500,054,799.50
  4. Step 4: Simplify right side
    706,940,937x = 2,250,164,401,502,985,216
  5. Step 5: Solve for x
    x = 2,250,164,401,502,985,216/706,940,937
  6. Step 6: Final answer
    x = 3,182,959,542.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.