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Finding the Third Proportional to 541,137,363 and 1,158,802,140

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Solution

The third proportional to 541,137,363 and 1,158,802,140 is: 2,481,481,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,137,363 : 1,158,802,140 = 1,158,802,140 : x
  2. Step 2: Convert to fraction form
    541,137,363/1,158,802,140 = 1,158,802,140/x
  3. Step 3: Cross multiply
    541,137,363x = 1,158,802,140 × 1,158,802,140
  4. Step 4: Simplify right side
    541,137,363x = 1,342,822,399,668,579,584
  5. Step 5: Solve for x
    x = 1,342,822,399,668,579,584/541,137,363
  6. Step 6: Final answer
    x = 2,481,481,582.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.