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Finding the Third Proportional to 46,323,714 and 100,272,644

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Solution

The third proportional to 46,323,714 and 100,272,644 is: 217,050,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,323,714 : 100,272,644 = 100,272,644 : x
  2. Step 2: Convert to fraction form
    46,323,714/100,272,644 = 100,272,644/x
  3. Step 3: Cross multiply
    46,323,714x = 100,272,644 × 100,272,644
  4. Step 4: Simplify right side
    46,323,714x = 10,054,603,134,750,736
  5. Step 5: Solve for x
    x = 10,054,603,134,750,736/46,323,714
  6. Step 6: Final answer
    x = 217,050,885.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.