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Finding the Third Proportional to 32,078,378 and 48,118,386

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Solution

The third proportional to 32,078,378 and 48,118,386 is: 72,178,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078,378 : 48,118,386 = 48,118,386 : x
  2. Step 2: Convert to fraction form
    32,078,378/48,118,386 = 48,118,386/x
  3. Step 3: Cross multiply
    32,078,378x = 48,118,386 × 48,118,386
  4. Step 4: Simplify right side
    32,078,378x = 2,315,379,071,244,996
  5. Step 5: Solve for x
    x = 2,315,379,071,244,996/32,078,378
  6. Step 6: Final answer
    x = 72,178,807.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.