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Finding the Third Proportional to 6,048,400,116 and 9,488,146,486.50

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Solution

The third proportional to 6,048,400,116 and 9,488,146,486.50 is: 14,884,088,688.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048,400,116 : 9,488,146,486.50 = 9,488,146,486.50 : x
  2. Step 2: Convert to fraction form
    6,048,400,116/9,488,146,486.50 = 9,488,146,486.50/x
  3. Step 3: Cross multiply
    6,048,400,116x = 9,488,146,486.50 × 9,488,146,486.50
  4. Step 4: Simplify right side
    6,048,400,116x = 90,024,923,749,282,299,904
  5. Step 5: Solve for x
    x = 90,024,923,749,282,299,904/6,048,400,116
  6. Step 6: Final answer
    x = 14,884,088,688.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.