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Finding the Third Proportional to 4,605,553,256.63 and 6,581,442,309.75

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Solution

The third proportional to 4,605,553,256.63 and 6,581,442,309.75 is: 9,405,033,546.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605,553,256.63 : 6,581,442,309.75 = 6,581,442,309.75 : x
  2. Step 2: Convert to fraction form
    4,605,553,256.63/6,581,442,309.75 = 6,581,442,309.75/x
  3. Step 3: Cross multiply
    4,605,553,256.63x = 6,581,442,309.75 × 6,581,442,309.75
  4. Step 4: Simplify right side
    4,605,553,256.63x = 43,315,382,876,567,412,736
  5. Step 5: Solve for x
    x = 43,315,382,876,567,412,736/4,605,553,256.63
  6. Step 6: Final answer
    x = 9,405,033,546.03

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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.