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Finding the Third Proportional to 6,577,280 and 14,346,640

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Solution

The third proportional to 6,577,280 and 14,346,640 is: 31,293,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577,280 : 14,346,640 = 14,346,640 : x
  2. Step 2: Convert to fraction form
    6,577,280/14,346,640 = 14,346,640/x
  3. Step 3: Cross multiply
    6,577,280x = 14,346,640 × 14,346,640
  4. Step 4: Simplify right side
    6,577,280x = 205,826,079,289,600
  5. Step 5: Solve for x
    x = 205,826,079,289,600/6,577,280
  6. Step 6: Final answer
    x = 31,293,495.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.