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Finding the Third Proportional to 405,417,332.25 and 885,147,829.31

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Solution

The third proportional to 405,417,332.25 and 885,147,829.31 is: 1,932,543,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,417,332.25 : 885,147,829.31 = 885,147,829.31 : x
  2. Step 2: Convert to fraction form
    405,417,332.25/885,147,829.31 = 885,147,829.31/x
  3. Step 3: Cross multiply
    405,417,332.25x = 885,147,829.31 × 885,147,829.31
  4. Step 4: Simplify right side
    405,417,332.25x = 783,486,679,736,630,656
  5. Step 5: Solve for x
    x = 783,486,679,736,630,656/405,417,332.25
  6. Step 6: Final answer
    x = 1,932,543,622.12

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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.