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Finding the Third Proportional to 30,920,848 and 65,583,392

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Solution

The third proportional to 30,920,848 and 65,583,392 is: 139,102,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920,848 : 65,583,392 = 65,583,392 : x
  2. Step 2: Convert to fraction form
    30,920,848/65,583,392 = 65,583,392/x
  3. Step 3: Cross multiply
    30,920,848x = 65,583,392 × 65,583,392
  4. Step 4: Simplify right side
    30,920,848x = 4,301,181,306,225,664
  5. Step 5: Solve for x
    x = 4,301,181,306,225,664/30,920,848
  6. Step 6: Final answer
    x = 139,102,954.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.