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Finding the Third Proportional to 631,709,212 and 1,363,300,220

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Solution

The third proportional to 631,709,212 and 1,363,300,220 is: 2,942,156,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,709,212 : 1,363,300,220 = 1,363,300,220 : x
  2. Step 2: Convert to fraction form
    631,709,212/1,363,300,220 = 1,363,300,220/x
  3. Step 3: Cross multiply
    631,709,212x = 1,363,300,220 × 1,363,300,220
  4. Step 4: Simplify right side
    631,709,212x = 1,858,587,489,852,048,384
  5. Step 5: Solve for x
    x = 1,858,587,489,852,048,384/631,709,212
  6. Step 6: Final answer
    x = 2,942,156,698.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.