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Finding the Third Proportional to 808,686,242.44 and 1,155,633,674.91

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Solution

The third proportional to 808,686,242.44 and 1,155,633,674.91 is: 1,651,430,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,686,242.44 : 1,155,633,674.91 = 1,155,633,674.91 : x
  2. Step 2: Convert to fraction form
    808,686,242.44/1,155,633,674.91 = 1,155,633,674.91/x
  3. Step 3: Cross multiply
    808,686,242.44x = 1,155,633,674.91 × 1,155,633,674.91
  4. Step 4: Simplify right side
    808,686,242.44x = 1,335,489,190,577,208,576
  5. Step 5: Solve for x
    x = 1,335,489,190,577,208,576/808,686,242.44
  6. Step 6: Final answer
    x = 1,651,430,580.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.