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Finding the Third Proportional to 7,606,863 and 16,914,507

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Solution

The third proportional to 7,606,863 and 16,914,507 is: 37,610,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606,863 : 16,914,507 = 16,914,507 : x
  2. Step 2: Convert to fraction form
    7,606,863/16,914,507 = 16,914,507/x
  3. Step 3: Cross multiply
    7,606,863x = 16,914,507 × 16,914,507
  4. Step 4: Simplify right side
    7,606,863x = 286,100,547,053,049
  5. Step 5: Solve for x
    x = 286,100,547,053,049/7,606,863
  6. Step 6: Final answer
    x = 37,610,845.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.