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Finding the Third Proportional to 763,292,889 and 1,167,138,112.50

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Solution

The third proportional to 763,292,889 and 1,167,138,112.50 is: 1,784,650,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,292,889 : 1,167,138,112.50 = 1,167,138,112.50 : x
  2. Step 2: Convert to fraction form
    763,292,889/1,167,138,112.50 = 1,167,138,112.50/x
  3. Step 3: Cross multiply
    763,292,889x = 1,167,138,112.50 × 1,167,138,112.50
  4. Step 4: Simplify right side
    763,292,889x = 1,362,211,373,650,062,592
  5. Step 5: Solve for x
    x = 1,362,211,373,650,062,592/763,292,889
  6. Step 6: Final answer
    x = 1,784,650,942.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.