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Finding the Third Proportional to 1,243,411,011 and 2,696,617,125

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Solution

The third proportional to 1,243,411,011 and 2,696,617,125 is: 5,848,222,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,411,011 : 2,696,617,125 = 2,696,617,125 : x
  2. Step 2: Convert to fraction form
    1,243,411,011/2,696,617,125 = 2,696,617,125/x
  3. Step 3: Cross multiply
    1,243,411,011x = 2,696,617,125 × 2,696,617,125
  4. Step 4: Simplify right side
    1,243,411,011x = 7,271,743,918,843,266,048
  5. Step 5: Solve for x
    x = 7,271,743,918,843,266,048/1,243,411,011
  6. Step 6: Final answer
    x = 5,848,222,232.64

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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.