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Finding the Third Proportional to 7,960,495 and 17,056,863

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Solution

The third proportional to 7,960,495 and 17,056,863 is: 36,547,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960,495 : 17,056,863 = 17,056,863 : x
  2. Step 2: Convert to fraction form
    7,960,495/17,056,863 = 17,056,863/x
  3. Step 3: Cross multiply
    7,960,495x = 17,056,863 × 17,056,863
  4. Step 4: Simplify right side
    7,960,495x = 290,936,575,400,769
  5. Step 5: Solve for x
    x = 290,936,575,400,769/7,960,495
  6. Step 6: Final answer
    x = 36,547,548.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.