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Finding the Third Proportional to 730,774,756.50 and 1,724,497,629

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Solution

The third proportional to 730,774,756.50 and 1,724,497,629 is: 4,069,505,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,774,756.50 : 1,724,497,629 = 1,724,497,629 : x
  2. Step 2: Convert to fraction form
    730,774,756.50/1,724,497,629 = 1,724,497,629/x
  3. Step 3: Cross multiply
    730,774,756.50x = 1,724,497,629 × 1,724,497,629
  4. Step 4: Simplify right side
    730,774,756.50x = 2,973,892,072,426,621,440
  5. Step 5: Solve for x
    x = 2,973,892,072,426,621,440/730,774,756.50
  6. Step 6: Final answer
    x = 4,069,505,748.49

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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.