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Finding the Third Proportional to 455,668,056.56 and 994,129,167.09

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Solution

The third proportional to 455,668,056.56 and 994,129,167.09 is: 2,168,887,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,668,056.56 : 994,129,167.09 = 994,129,167.09 : x
  2. Step 2: Convert to fraction form
    455,668,056.56/994,129,167.09 = 994,129,167.09/x
  3. Step 3: Cross multiply
    455,668,056.56x = 994,129,167.09 × 994,129,167.09
  4. Step 4: Simplify right side
    455,668,056.56x = 988,292,800,866,513,152
  5. Step 5: Solve for x
    x = 988,292,800,866,513,152/455,668,056.56
  6. Step 6: Final answer
    x = 2,168,887,607.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.