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Finding the Third Proportional to 730,774,449 and 1,724,496,880.50

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Solution

The third proportional to 730,774,449 and 1,724,496,880.50 is: 4,069,503,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,774,449 : 1,724,496,880.50 = 1,724,496,880.50 : x
  2. Step 2: Convert to fraction form
    730,774,449/1,724,496,880.50 = 1,724,496,880.50/x
  3. Step 3: Cross multiply
    730,774,449x = 1,724,496,880.50 × 1,724,496,880.50
  4. Step 4: Simplify right side
    730,774,449x = 2,973,889,490,854,231,040
  5. Step 5: Solve for x
    x = 2,973,889,490,854,231,040/730,774,449
  6. Step 6: Final answer
    x = 4,069,503,928.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.