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Finding the Third Proportional to 730,774,764 and 1,724,497,645.50

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Solution

The third proportional to 730,774,764 and 1,724,497,645.50 is: 4,069,505,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,774,764 : 1,724,497,645.50 = 1,724,497,645.50 : x
  2. Step 2: Convert to fraction form
    730,774,764/1,724,497,645.50 = 1,724,497,645.50/x
  3. Step 3: Cross multiply
    730,774,764x = 1,724,497,645.50 × 1,724,497,645.50
  4. Step 4: Simplify right side
    730,774,764x = 2,973,892,129,335,043,584
  5. Step 5: Solve for x
    x = 2,973,892,129,335,043,584/730,774,764
  6. Step 6: Final answer
    x = 4,069,505,784.60

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