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Finding the Third Proportional to 660,060,171 and 1,398,801,798

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Solution

The third proportional to 660,060,171 and 1,398,801,798 is: 2,964,345,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,060,171 : 1,398,801,798 = 1,398,801,798 : x
  2. Step 2: Convert to fraction form
    660,060,171/1,398,801,798 = 1,398,801,798/x
  3. Step 3: Cross multiply
    660,060,171x = 1,398,801,798 × 1,398,801,798
  4. Step 4: Simplify right side
    660,060,171x = 1,956,646,470,088,032,768
  5. Step 5: Solve for x
    x = 1,956,646,470,088,032,768/660,060,171
  6. Step 6: Final answer
    x = 2,964,345,609.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.