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Finding the Third Proportional to 6,400,407 and 13,996,362

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Solution

The third proportional to 6,400,407 and 13,996,362 is: 30,607,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400,407 : 13,996,362 = 13,996,362 : x
  2. Step 2: Convert to fraction form
    6,400,407/13,996,362 = 13,996,362/x
  3. Step 3: Cross multiply
    6,400,407x = 13,996,362 × 13,996,362
  4. Step 4: Simplify right side
    6,400,407x = 195,898,149,235,044
  5. Step 5: Solve for x
    x = 195,898,149,235,044/6,400,407
  6. Step 6: Final answer
    x = 30,607,139.40

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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.