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Finding the Third Proportional to 6,018,964 and 13,416,445

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Solution

The third proportional to 6,018,964 and 13,416,445 is: 29,905,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,018,964 : 13,416,445 = 13,416,445 : x
  2. Step 2: Convert to fraction form
    6,018,964/13,416,445 = 13,416,445/x
  3. Step 3: Cross multiply
    6,018,964x = 13,416,445 × 13,416,445
  4. Step 4: Simplify right side
    6,018,964x = 180,000,996,438,025
  5. Step 5: Solve for x
    x = 180,000,996,438,025/6,018,964
  6. Step 6: Final answer
    x = 29,905,644.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.