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Finding the Third Proportional to 347,782,167.84 and 750,043,800.84

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Solution

The third proportional to 347,782,167.84 and 750,043,800.84 is: 1,617,580,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,782,167.84 : 750,043,800.84 = 750,043,800.84 : x
  2. Step 2: Convert to fraction form
    347,782,167.84/750,043,800.84 = 750,043,800.84/x
  3. Step 3: Cross multiply
    347,782,167.84x = 750,043,800.84 × 750,043,800.84
  4. Step 4: Simplify right side
    347,782,167.84x = 562,565,703,184,138,944
  5. Step 5: Solve for x
    x = 562,565,703,184,138,944/347,782,167.84
  6. Step 6: Final answer
    x = 1,617,580,644.44

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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.