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Finding the Third Proportional to 347,782,225.50 and 750,043,921.50

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Solution

The third proportional to 347,782,225.50 and 750,043,921.50 is: 1,617,580,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,782,225.50 : 750,043,921.50 = 750,043,921.50 : x
  2. Step 2: Convert to fraction form
    347,782,225.50/750,043,921.50 = 750,043,921.50/x
  3. Step 3: Cross multiply
    347,782,225.50x = 750,043,921.50 × 750,043,921.50
  4. Step 4: Simplify right side
    347,782,225.50x = 562,565,884,179,098,176
  5. Step 5: Solve for x
    x = 562,565,884,179,098,176/347,782,225.50
  6. Step 6: Final answer
    x = 1,617,580,896.70

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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.