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Finding the Third Proportional to 926,816,053.50 and 1,398,843,121.50

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Solution

The third proportional to 926,816,053.50 and 1,398,843,121.50 is: 2,111,273,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,816,053.50 : 1,398,843,121.50 = 1,398,843,121.50 : x
  2. Step 2: Convert to fraction form
    926,816,053.50/1,398,843,121.50 = 1,398,843,121.50/x
  3. Step 3: Cross multiply
    926,816,053.50x = 1,398,843,121.50 × 1,398,843,121.50
  4. Step 4: Simplify right side
    926,816,053.50x = 1,956,762,078,567,863,808
  5. Step 5: Solve for x
    x = 1,956,762,078,567,863,808/926,816,053.50
  6. Step 6: Final answer
    x = 2,111,273,397.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.