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Finding the Third Proportional to 2,929,697 and 6,426,664

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Solution

The third proportional to 2,929,697 and 6,426,664 is: 14,097,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929,697 : 6,426,664 = 6,426,664 : x
  2. Step 2: Convert to fraction form
    2,929,697/6,426,664 = 6,426,664/x
  3. Step 3: Cross multiply
    2,929,697x = 6,426,664 × 6,426,664
  4. Step 4: Simplify right side
    2,929,697x = 41,302,010,168,896
  5. Step 5: Solve for x
    x = 41,302,010,168,896/2,929,697
  6. Step 6: Final answer
    x = 14,097,707.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.