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Finding the Third Proportional to 13,909,464 and 29,875,680

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Solution

The third proportional to 13,909,464 and 29,875,680 is: 64,168,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909,464 : 29,875,680 = 29,875,680 : x
  2. Step 2: Convert to fraction form
    13,909,464/29,875,680 = 29,875,680/x
  3. Step 3: Cross multiply
    13,909,464x = 29,875,680 × 29,875,680
  4. Step 4: Simplify right side
    13,909,464x = 892,556,255,462,400
  5. Step 5: Solve for x
    x = 892,556,255,462,400/13,909,464
  6. Step 6: Final answer
    x = 64,168,989.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.