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Finding the Third Proportional to 347,782,100.77 and 750,043,670.06

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Solution

The third proportional to 347,782,100.77 and 750,043,670.06 is: 1,617,580,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,782,100.77 : 750,043,670.06 = 750,043,670.06 : x
  2. Step 2: Convert to fraction form
    347,782,100.77/750,043,670.06 = 750,043,670.06/x
  3. Step 3: Cross multiply
    347,782,100.77x = 750,043,670.06 × 750,043,670.06
  4. Step 4: Simplify right side
    347,782,100.77x = 562,565,507,000,824,384
  5. Step 5: Solve for x
    x = 562,565,507,000,824,384/347,782,100.77
  6. Step 6: Final answer
    x = 1,617,580,392.33

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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.