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Finding the Third Proportional to 571,007,110.50 and 860,291,097.75

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Solution

The third proportional to 571,007,110.50 and 860,291,097.75 is: 1,296,132,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,007,110.50 : 860,291,097.75 = 860,291,097.75 : x
  2. Step 2: Convert to fraction form
    571,007,110.50/860,291,097.75 = 860,291,097.75/x
  3. Step 3: Cross multiply
    571,007,110.50x = 860,291,097.75 × 860,291,097.75
  4. Step 4: Simplify right side
    571,007,110.50x = 740,100,772,867,900,032
  5. Step 5: Solve for x
    x = 740,100,772,867,900,032/571,007,110.50
  6. Step 6: Final answer
    x = 1,296,132,323.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.