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Finding the Third Proportional to 650,477,940.61 and 990,962,009.51

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Solution

The third proportional to 650,477,940.61 and 990,962,009.51 is: 1,509,667,957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,477,940.61 : 990,962,009.51 = 990,962,009.51 : x
  2. Step 2: Convert to fraction form
    650,477,940.61/990,962,009.51 = 990,962,009.51/x
  3. Step 3: Cross multiply
    650,477,940.61x = 990,962,009.51 × 990,962,009.51
  4. Step 4: Simplify right side
    650,477,940.61x = 982,005,704,287,638,016
  5. Step 5: Solve for x
    x = 982,005,704,287,638,016/650,477,940.61
  6. Step 6: Final answer
    x = 1,509,667,957.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.