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Finding the Third Proportional to 6,520,824 and 14,301,360

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Solution

The third proportional to 6,520,824 and 14,301,360 is: 31,365,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520,824 : 14,301,360 = 14,301,360 : x
  2. Step 2: Convert to fraction form
    6,520,824/14,301,360 = 14,301,360/x
  3. Step 3: Cross multiply
    6,520,824x = 14,301,360 × 14,301,360
  4. Step 4: Simplify right side
    6,520,824x = 204,528,897,849,600
  5. Step 5: Solve for x
    x = 204,528,897,849,600/6,520,824
  6. Step 6: Final answer
    x = 31,365,498.88

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