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Finding the Third Proportional to 645,052,988 and 996,095,810

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Solution

The third proportional to 645,052,988 and 996,095,810 is: 1,538,178,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,052,988 : 996,095,810 = 996,095,810 : x
  2. Step 2: Convert to fraction form
    645,052,988/996,095,810 = 996,095,810/x
  3. Step 3: Cross multiply
    645,052,988x = 996,095,810 × 996,095,810
  4. Step 4: Simplify right side
    645,052,988x = 992,206,862,699,556,096
  5. Step 5: Solve for x
    x = 992,206,862,699,556,096/645,052,988
  6. Step 6: Final answer
    x = 1,538,178,849.11

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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.