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Finding the Third Proportional to 10,008,334.69 and 21,852,109.13

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Solution

The third proportional to 10,008,334.69 and 21,852,109.13 is: 47,711,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008,334.69 : 21,852,109.13 = 21,852,109.13 : x
  2. Step 2: Convert to fraction form
    10,008,334.69/21,852,109.13 = 21,852,109.13/x
  3. Step 3: Cross multiply
    10,008,334.69x = 21,852,109.13 × 21,852,109.13
  4. Step 4: Simplify right side
    10,008,334.69x = 477,514,673,210,908.25
  5. Step 5: Solve for x
    x = 477,514,673,210,908.25/10,008,334.69
  6. Step 6: Final answer
    x = 47,711,701.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.