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Finding the Third Proportional to 645,053,010 and 996,095,850

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Solution

The third proportional to 645,053,010 and 996,095,850 is: 1,538,178,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,053,010 : 996,095,850 = 996,095,850 : x
  2. Step 2: Convert to fraction form
    645,053,010/996,095,850 = 996,095,850/x
  3. Step 3: Cross multiply
    645,053,010x = 996,095,850 × 996,095,850
  4. Step 4: Simplify right side
    645,053,010x = 992,206,942,387,222,528
  5. Step 5: Solve for x
    x = 992,206,942,387,222,528/645,053,010
  6. Step 6: Final answer
    x = 1,538,178,920.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.