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Finding the Third Proportional to 7,543,070 and 16,793,460

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Solution

The third proportional to 7,543,070 and 16,793,460 is: 37,387,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543,070 : 16,793,460 = 16,793,460 : x
  2. Step 2: Convert to fraction form
    7,543,070/16,793,460 = 16,793,460/x
  3. Step 3: Cross multiply
    7,543,070x = 16,793,460 × 16,793,460
  4. Step 4: Simplify right side
    7,543,070x = 282,020,298,771,600
  5. Step 5: Solve for x
    x = 282,020,298,771,600/7,543,070
  6. Step 6: Final answer
    x = 37,387,999.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.