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Finding the Third Proportional to 7,343,708,212.50 and 11,023,335,103.50

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Solution

The third proportional to 7,343,708,212.50 and 11,023,335,103.50 is: 16,546,670,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343,708,212.50 : 11,023,335,103.50 = 11,023,335,103.50 : x
  2. Step 2: Convert to fraction form
    7,343,708,212.50/11,023,335,103.50 = 11,023,335,103.50/x
  3. Step 3: Cross multiply
    7,343,708,212.50x = 11,023,335,103.50 × 11,023,335,103.50
  4. Step 4: Simplify right side
    7,343,708,212.50x = 121,513,916,804,055,351,296
  5. Step 5: Solve for x
    x = 121,513,916,804,055,351,296/7,343,708,212.50
  6. Step 6: Final answer
    x = 16,546,670,059.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.