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Finding the Third Proportional to 4,692,007,023.75 and 7,081,643,695.50

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Solution

The third proportional to 4,692,007,023.75 and 7,081,643,695.50 is: 10,688,321,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692,007,023.75 : 7,081,643,695.50 = 7,081,643,695.50 : x
  2. Step 2: Convert to fraction form
    4,692,007,023.75/7,081,643,695.50 = 7,081,643,695.50/x
  3. Step 3: Cross multiply
    4,692,007,023.75x = 7,081,643,695.50 × 7,081,643,695.50
  4. Step 4: Simplify right side
    4,692,007,023.75x = 50,149,677,430,014,894,080
  5. Step 5: Solve for x
    x = 50,149,677,430,014,894,080/4,692,007,023.75
  6. Step 6: Final answer
    x = 10,688,321,048.15

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