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Finding the Third Proportional to 29,102,400 and 45,653,008

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Solution

The third proportional to 29,102,400 and 45,653,008 is: 71,615,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,102,400 : 45,653,008 = 45,653,008 : x
  2. Step 2: Convert to fraction form
    29,102,400/45,653,008 = 45,653,008/x
  3. Step 3: Cross multiply
    29,102,400x = 45,653,008 × 45,653,008
  4. Step 4: Simplify right side
    29,102,400x = 2,084,197,139,448,064
  5. Step 5: Solve for x
    x = 2,084,197,139,448,064/29,102,400
  6. Step 6: Final answer
    x = 71,615,988.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.