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Finding the Third Proportional to 40,051,875,000 and 83,399,851,104

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Solution

The third proportional to 40,051,875,000 and 83,399,851,104 is: 173,663,159,694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,051,875,000 : 83,399,851,104 = 83,399,851,104 : x
  2. Step 2: Convert to fraction form
    40,051,875,000/83,399,851,104 = 83,399,851,104/x
  3. Step 3: Cross multiply
    40,051,875,000x = 83,399,851,104 × 83,399,851,104
  4. Step 4: Simplify right side
    40,051,875,000x = 6,955,535,164,169,370,206,208
  5. Step 5: Solve for x
    x = 6,955,535,164,169,370,206,208/40,051,875,000
  6. Step 6: Final answer
    x = 173,663,159,694.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.