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Finding the Third Proportional to 10,684,426.50 and 21,746,133.28

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Solution

The third proportional to 10,684,426.50 and 21,746,133.28 is: 44,260,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684,426.50 : 21,746,133.28 = 21,746,133.28 : x
  2. Step 2: Convert to fraction form
    10,684,426.50/21,746,133.28 = 21,746,133.28/x
  3. Step 3: Cross multiply
    10,684,426.50x = 21,746,133.28 × 21,746,133.28
  4. Step 4: Simplify right side
    10,684,426.50x = 472,894,312,685,888.88
  5. Step 5: Solve for x
    x = 472,894,312,685,888.88/10,684,426.50
  6. Step 6: Final answer
    x = 44,260,149.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.