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Finding the Third Proportional to 374,370,869.50 and 800,672,409.50

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Solution

The third proportional to 374,370,869.50 and 800,672,409.50 is: 1,712,409,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,370,869.50 : 800,672,409.50 = 800,672,409.50 : x
  2. Step 2: Convert to fraction form
    374,370,869.50/800,672,409.50 = 800,672,409.50/x
  3. Step 3: Cross multiply
    374,370,869.50x = 800,672,409.50 × 800,672,409.50
  4. Step 4: Simplify right side
    374,370,869.50x = 641,076,307,334,535,680
  5. Step 5: Solve for x
    x = 641,076,307,334,535,680/374,370,869.50
  6. Step 6: Final answer
    x = 1,712,409,697.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.