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Finding the Third Proportional to 730,774,756.13 and 1,724,497,627.50

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Solution

The third proportional to 730,774,756.13 and 1,724,497,627.50 is: 4,069,505,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,774,756.13 : 1,724,497,627.50 = 1,724,497,627.50 : x
  2. Step 2: Convert to fraction form
    730,774,756.13/1,724,497,627.50 = 1,724,497,627.50/x
  3. Step 3: Cross multiply
    730,774,756.13x = 1,724,497,627.50 × 1,724,497,627.50
  4. Step 4: Simplify right side
    730,774,756.13x = 2,973,892,067,253,128,704
  5. Step 5: Solve for x
    x = 2,973,892,067,253,128,704/730,774,756.13
  6. Step 6: Final answer
    x = 4,069,505,743.50

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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.