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Finding the Third Proportional to 34,878,490 and 81,465,973

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Solution

The third proportional to 34,878,490 and 81,465,973 is: 190,280,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,878,490 : 81,465,973 = 81,465,973 : x
  2. Step 2: Convert to fraction form
    34,878,490/81,465,973 = 81,465,973/x
  3. Step 3: Cross multiply
    34,878,490x = 81,465,973 × 81,465,973
  4. Step 4: Simplify right side
    34,878,490x = 6,636,704,756,836,729
  5. Step 5: Solve for x
    x = 6,636,704,756,836,729/34,878,490
  6. Step 6: Final answer
    x = 190,280,736.26

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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.