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Finding the Third Proportional to 7,128,208 and 10,299,032

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Solution

The third proportional to 7,128,208 and 10,299,032 is: 14,880,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128,208 : 10,299,032 = 10,299,032 : x
  2. Step 2: Convert to fraction form
    7,128,208/10,299,032 = 10,299,032/x
  3. Step 3: Cross multiply
    7,128,208x = 10,299,032 × 10,299,032
  4. Step 4: Simplify right side
    7,128,208x = 106,070,060,137,024
  5. Step 5: Solve for x
    x = 106,070,060,137,024/7,128,208
  6. Step 6: Final answer
    x = 14,880,326.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.