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Finding the Third Proportional to 10,834,964 and 22,566,739

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Solution

The third proportional to 10,834,964 and 22,566,739 is: 47,001,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834,964 : 22,566,739 = 22,566,739 : x
  2. Step 2: Convert to fraction form
    10,834,964/22,566,739 = 22,566,739/x
  3. Step 3: Cross multiply
    10,834,964x = 22,566,739 × 22,566,739
  4. Step 4: Simplify right side
    10,834,964x = 509,257,709,094,121
  5. Step 5: Solve for x
    x = 509,257,709,094,121/10,834,964
  6. Step 6: Final answer
    x = 47,001,329.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.