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Finding the Third Proportional to 3,029,460 and 6,531,312

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Solution

The third proportional to 3,029,460 and 6,531,312 is: 14,081,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,460 : 6,531,312 = 6,531,312 : x
  2. Step 2: Convert to fraction form
    3,029,460/6,531,312 = 6,531,312/x
  3. Step 3: Cross multiply
    3,029,460x = 6,531,312 × 6,531,312
  4. Step 4: Simplify right side
    3,029,460x = 42,658,036,441,344
  5. Step 5: Solve for x
    x = 42,658,036,441,344/3,029,460
  6. Step 6: Final answer
    x = 14,081,069.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.