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Finding the Third Proportional to 6,516,428 and 14,314,924

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Solution

The third proportional to 6,516,428 and 14,314,924 is: 31,446,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516,428 : 14,314,924 = 14,314,924 : x
  2. Step 2: Convert to fraction form
    6,516,428/14,314,924 = 14,314,924/x
  3. Step 3: Cross multiply
    6,516,428x = 14,314,924 × 14,314,924
  4. Step 4: Simplify right side
    6,516,428x = 204,917,049,125,776
  5. Step 5: Solve for x
    x = 204,917,049,125,776/6,516,428
  6. Step 6: Final answer
    x = 31,446,223.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.