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Finding the Third Proportional to 746,381,551.50 and 1,104,885,528.75

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Solution

The third proportional to 746,381,551.50 and 1,104,885,528.75 is: 1,635,587,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,381,551.50 : 1,104,885,528.75 = 1,104,885,528.75 : x
  2. Step 2: Convert to fraction form
    746,381,551.50/1,104,885,528.75 = 1,104,885,528.75/x
  3. Step 3: Cross multiply
    746,381,551.50x = 1,104,885,528.75 × 1,104,885,528.75
  4. Step 4: Simplify right side
    746,381,551.50x = 1,220,772,031,641,167,104
  5. Step 5: Solve for x
    x = 1,220,772,031,641,167,104/746,381,551.50
  6. Step 6: Final answer
    x = 1,635,587,092.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.