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Finding the Third Proportional to 573,113,668.50 and 1,227,961,273.50

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Solution

The third proportional to 573,113,668.50 and 1,227,961,273.50 is: 2,631,046,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,113,668.50 : 1,227,961,273.50 = 1,227,961,273.50 : x
  2. Step 2: Convert to fraction form
    573,113,668.50/1,227,961,273.50 = 1,227,961,273.50/x
  3. Step 3: Cross multiply
    573,113,668.50x = 1,227,961,273.50 × 1,227,961,273.50
  4. Step 4: Simplify right side
    573,113,668.50x = 1,507,888,889,215,741,696
  5. Step 5: Solve for x
    x = 1,507,888,889,215,741,696/573,113,668.50
  6. Step 6: Final answer
    x = 2,631,046,809.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.