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Finding the Third Proportional to 1,799,734,589 and 2,804,824,122.50

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Solution

The third proportional to 1,799,734,589 and 2,804,824,122.50 is: 4,371,221,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799,734,589 : 2,804,824,122.50 = 2,804,824,122.50 : x
  2. Step 2: Convert to fraction form
    1,799,734,589/2,804,824,122.50 = 2,804,824,122.50/x
  3. Step 3: Cross multiply
    1,799,734,589x = 2,804,824,122.50 × 2,804,824,122.50
  4. Step 4: Simplify right side
    1,799,734,589x = 7,867,038,358,157,894,656
  5. Step 5: Solve for x
    x = 7,867,038,358,157,894,656/1,799,734,589
  6. Step 6: Final answer
    x = 4,371,221,404.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.