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Finding the Third Proportional to 884,022,256.13 and 1,473,281,633.81

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Solution

The third proportional to 884,022,256.13 and 1,473,281,633.81 is: 2,455,321,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,022,256.13 : 1,473,281,633.81 = 1,473,281,633.81 : x
  2. Step 2: Convert to fraction form
    884,022,256.13/1,473,281,633.81 = 1,473,281,633.81/x
  3. Step 3: Cross multiply
    884,022,256.13x = 1,473,281,633.81 × 1,473,281,633.81
  4. Step 4: Simplify right side
    884,022,256.13x = 2,170,558,772,529,229,312
  5. Step 5: Solve for x
    x = 2,170,558,772,529,229,312/884,022,256.13
  6. Step 6: Final answer
    x = 2,455,321,410.17

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.