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Finding the Third Proportional to 34,878,514 and 81,466,032

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Solution

The third proportional to 34,878,514 and 81,466,032 is: 190,280,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,878,514 : 81,466,032 = 81,466,032 : x
  2. Step 2: Convert to fraction form
    34,878,514/81,466,032 = 81,466,032/x
  3. Step 3: Cross multiply
    34,878,514x = 81,466,032 × 81,466,032
  4. Step 4: Simplify right side
    34,878,514x = 6,636,714,369,825,024
  5. Step 5: Solve for x
    x = 6,636,714,369,825,024/34,878,514
  6. Step 6: Final answer
    x = 190,280,880.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.