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Finding the Third Proportional to 46,072,613 and 100,823,242

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Solution

The third proportional to 46,072,613 and 100,823,242 is: 220,637,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,072,613 : 100,823,242 = 100,823,242 : x
  2. Step 2: Convert to fraction form
    46,072,613/100,823,242 = 100,823,242/x
  3. Step 3: Cross multiply
    46,072,613x = 100,823,242 × 100,823,242
  4. Step 4: Simplify right side
    46,072,613x = 10,165,326,127,390,564
  5. Step 5: Solve for x
    x = 10,165,326,127,390,564/46,072,613
  6. Step 6: Final answer
    x = 220,637,065.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.