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Finding the Third Proportional to 40,816,384,020 and 63,373,549,600

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Solution

The third proportional to 40,816,384,020 and 63,373,549,600 is: 98,396,927,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,816,384,020 : 63,373,549,600 = 63,373,549,600 : x
  2. Step 2: Convert to fraction form
    40,816,384,020/63,373,549,600 = 63,373,549,600/x
  3. Step 3: Cross multiply
    40,816,384,020x = 63,373,549,600 × 63,373,549,600
  4. Step 4: Simplify right side
    40,816,384,020x = 4,016,206,788,903,660,158,976
  5. Step 5: Solve for x
    x = 4,016,206,788,903,660,158,976/40,816,384,020
  6. Step 6: Final answer
    x = 98,396,927,737.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.