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Finding the Third Proportional to 7,730,214 and 16,395,852

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Solution

The third proportional to 7,730,214 and 16,395,852 is: 34,775,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730,214 : 16,395,852 = 16,395,852 : x
  2. Step 2: Convert to fraction form
    7,730,214/16,395,852 = 16,395,852/x
  3. Step 3: Cross multiply
    7,730,214x = 16,395,852 × 16,395,852
  4. Step 4: Simplify right side
    7,730,214x = 268,823,962,805,904
  5. Step 5: Solve for x
    x = 268,823,962,805,904/7,730,214
  6. Step 6: Final answer
    x = 34,775,746.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.