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Finding the Third Proportional to 4,648,240,305.75 and 9,959,613,133

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Solution

The third proportional to 4,648,240,305.75 and 9,959,613,133 is: 21,340,095,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648,240,305.75 : 9,959,613,133 = 9,959,613,133 : x
  2. Step 2: Convert to fraction form
    4,648,240,305.75/9,959,613,133 = 9,959,613,133/x
  3. Step 3: Cross multiply
    4,648,240,305.75x = 9,959,613,133 × 9,959,613,133
  4. Step 4: Simplify right side
    4,648,240,305.75x = 99,193,893,759,026,069,504
  5. Step 5: Solve for x
    x = 99,193,893,759,026,069,504/4,648,240,305.75
  6. Step 6: Final answer
    x = 21,340,095,871.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.