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Finding the Third Proportional to 10,274,852 and 16,000,590

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Solution

The third proportional to 10,274,852 and 16,000,590 is: 24,917,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274,852 : 16,000,590 = 16,000,590 : x
  2. Step 2: Convert to fraction form
    10,274,852/16,000,590 = 16,000,590/x
  3. Step 3: Cross multiply
    10,274,852x = 16,000,590 × 16,000,590
  4. Step 4: Simplify right side
    10,274,852x = 256,018,880,348,100
  5. Step 5: Solve for x
    x = 256,018,880,348,100/10,274,852
  6. Step 6: Final answer
    x = 24,917,038.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.