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Finding the Third Proportional to 7,226,411 and 10,640,007

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Solution

The third proportional to 7,226,411 and 10,640,007 is: 15,666,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226,411 : 10,640,007 = 10,640,007 : x
  2. Step 2: Convert to fraction form
    7,226,411/10,640,007 = 10,640,007/x
  3. Step 3: Cross multiply
    7,226,411x = 10,640,007 × 10,640,007
  4. Step 4: Simplify right side
    7,226,411x = 113,209,748,960,049
  5. Step 5: Solve for x
    x = 113,209,748,960,049/7,226,411
  6. Step 6: Final answer
    x = 15,666,109.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.