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Finding the Third Proportional to 32,076,918 and 46,345,617

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Solution

The third proportional to 32,076,918 and 46,345,617 is: 66,961,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076,918 : 46,345,617 = 46,345,617 : x
  2. Step 2: Convert to fraction form
    32,076,918/46,345,617 = 46,345,617/x
  3. Step 3: Cross multiply
    32,076,918x = 46,345,617 × 46,345,617
  4. Step 4: Simplify right side
    32,076,918x = 2,147,916,215,110,689
  5. Step 5: Solve for x
    x = 2,147,916,215,110,689/32,076,918
  6. Step 6: Final answer
    x = 66,961,427.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.