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Finding the Third Proportional to 10,236,106.69 and 21,911,527.69

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Solution

The third proportional to 10,236,106.69 and 21,911,527.69 is: 46,904,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236,106.69 : 21,911,527.69 = 21,911,527.69 : x
  2. Step 2: Convert to fraction form
    10,236,106.69/21,911,527.69 = 21,911,527.69/x
  3. Step 3: Cross multiply
    10,236,106.69x = 21,911,527.69 × 21,911,527.69
  4. Step 4: Simplify right side
    10,236,106.69x = 480,115,045,600,079.12
  5. Step 5: Solve for x
    x = 480,115,045,600,079.12/10,236,106.69
  6. Step 6: Final answer
    x = 46,904,068.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.