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Finding the Third Proportional to 5,300,237,256.19 and 7,848,019,000.97

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Solution

The third proportional to 5,300,237,256.19 and 7,848,019,000.97 is: 11,620,499,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300,237,256.19 : 7,848,019,000.97 = 7,848,019,000.97 : x
  2. Step 2: Convert to fraction form
    5,300,237,256.19/7,848,019,000.97 = 7,848,019,000.97/x
  3. Step 3: Cross multiply
    5,300,237,256.19x = 7,848,019,000.97 × 7,848,019,000.97
  4. Step 4: Simplify right side
    5,300,237,256.19x = 61,591,402,239,567,314,944
  5. Step 5: Solve for x
    x = 61,591,402,239,567,314,944/5,300,237,256.19
  6. Step 6: Final answer
    x = 11,620,499,095.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.