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Finding the Third Proportional to 220,773,453,815.25 and 479,225,819,739.93

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Solution

The third proportional to 220,773,453,815.25 and 479,225,819,739.93 is: 1,040,240,039,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,773,453,815.25 : 479,225,819,739.93 = 479,225,819,739.93 : x
  2. Step 2: Convert to fraction form
    220,773,453,815.25/479,225,819,739.93 = 479,225,819,739.93/x
  3. Step 3: Cross multiply
    220,773,453,815.25x = 479,225,819,739.93 × 479,225,819,739.93
  4. Step 4: Simplify right side
    220,773,453,815.25x = 229,657,386,305,407,875,547,136
  5. Step 5: Solve for x
    x = 229,657,386,305,407,875,547,136/220,773,453,815.25
  6. Step 6: Final answer
    x = 1,040,240,039,446.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.