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Finding the Third Proportional to 32,306,254 and 69,153,642

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Solution

The third proportional to 32,306,254 and 69,153,642 is: 148,027,877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306,254 : 69,153,642 = 69,153,642 : x
  2. Step 2: Convert to fraction form
    32,306,254/69,153,642 = 69,153,642/x
  3. Step 3: Cross multiply
    32,306,254x = 69,153,642 × 69,153,642
  4. Step 4: Simplify right side
    32,306,254x = 4,782,226,201,864,164
  5. Step 5: Solve for x
    x = 4,782,226,201,864,164/32,306,254
  6. Step 6: Final answer
    x = 148,027,877.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.