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Finding the Third Proportional to 6,500,824 and 14,000,640

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Solution

The third proportional to 6,500,824 and 14,000,640 is: 30,152,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500,824 : 14,000,640 = 14,000,640 : x
  2. Step 2: Convert to fraction form
    6,500,824/14,000,640 = 14,000,640/x
  3. Step 3: Cross multiply
    6,500,824x = 14,000,640 × 14,000,640
  4. Step 4: Simplify right side
    6,500,824x = 196,017,920,409,600
  5. Step 5: Solve for x
    x = 196,017,920,409,600/6,500,824
  6. Step 6: Final answer
    x = 30,152,780.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.