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Finding the Third Proportional to 918,262,310.80 and 1,875,067,011.07

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Solution

The third proportional to 918,262,310.80 and 1,875,067,011.07 is: 3,828,836,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,262,310.80 : 1,875,067,011.07 = 1,875,067,011.07 : x
  2. Step 2: Convert to fraction form
    918,262,310.80/1,875,067,011.07 = 1,875,067,011.07/x
  3. Step 3: Cross multiply
    918,262,310.80x = 1,875,067,011.07 × 1,875,067,011.07
  4. Step 4: Simplify right side
    918,262,310.80x = 3,515,876,296,004,483,584
  5. Step 5: Solve for x
    x = 3,515,876,296,004,483,584/918,262,310.80
  6. Step 6: Final answer
    x = 3,828,836,547.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.