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Finding the Third Proportional to 714,457,323 and 1,538,388,211.50

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Solution

The third proportional to 714,457,323 and 1,538,388,211.50 is: 3,312,497,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,457,323 : 1,538,388,211.50 = 1,538,388,211.50 : x
  2. Step 2: Convert to fraction form
    714,457,323/1,538,388,211.50 = 1,538,388,211.50/x
  3. Step 3: Cross multiply
    714,457,323x = 1,538,388,211.50 × 1,538,388,211.50
  4. Step 4: Simplify right side
    714,457,323x = 2,366,638,289,282,168,832
  5. Step 5: Solve for x
    x = 2,366,638,289,282,168,832/714,457,323
  6. Step 6: Final answer
    x = 3,312,497,770.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.