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Finding the Third Proportional to 14,128,886 and 30,516,214

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Solution

The third proportional to 14,128,886 and 30,516,214 is: 65,910,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,128,886 : 30,516,214 = 30,516,214 : x
  2. Step 2: Convert to fraction form
    14,128,886/30,516,214 = 30,516,214/x
  3. Step 3: Cross multiply
    14,128,886x = 30,516,214 × 30,516,214
  4. Step 4: Simplify right side
    14,128,886x = 931,239,316,893,796
  5. Step 5: Solve for x
    x = 931,239,316,893,796/14,128,886
  6. Step 6: Final answer
    x = 65,910,314.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.