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Finding the Third Proportional to 31,563,306 and 68,970,276

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Solution

The third proportional to 31,563,306 and 68,970,276 is: 150,709,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563,306 : 68,970,276 = 68,970,276 : x
  2. Step 2: Convert to fraction form
    31,563,306/68,970,276 = 68,970,276/x
  3. Step 3: Cross multiply
    31,563,306x = 68,970,276 × 68,970,276
  4. Step 4: Simplify right side
    31,563,306x = 4,756,898,971,516,176
  5. Step 5: Solve for x
    x = 4,756,898,971,516,176/31,563,306
  6. Step 6: Final answer
    x = 150,709,782.16

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