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Finding the Third Proportional to 29,106,929 and 59,069,181

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Solution

The third proportional to 29,106,929 and 59,069,181 is: 119,874,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,106,929 : 59,069,181 = 59,069,181 : x
  2. Step 2: Convert to fraction form
    29,106,929/59,069,181 = 59,069,181/x
  3. Step 3: Cross multiply
    29,106,929x = 59,069,181 × 59,069,181
  4. Step 4: Simplify right side
    29,106,929x = 3,489,168,144,010,761
  5. Step 5: Solve for x
    x = 3,489,168,144,010,761/29,106,929
  6. Step 6: Final answer
    x = 119,874,142.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.