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Finding the Third Proportional to 40,051,875,004 and 83,399,851,112

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Solution

The third proportional to 40,051,875,004 and 83,399,851,112 is: 173,663,159,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,051,875,004 : 83,399,851,112 = 83,399,851,112 : x
  2. Step 2: Convert to fraction form
    40,051,875,004/83,399,851,112 = 83,399,851,112/x
  3. Step 3: Cross multiply
    40,051,875,004x = 83,399,851,112 × 83,399,851,112
  4. Step 4: Simplify right side
    40,051,875,004x = 6,955,535,165,503,768,100,864
  5. Step 5: Solve for x
    x = 6,955,535,165,503,768,100,864/40,051,875,004
  6. Step 6: Final answer
    x = 173,663,159,709.98

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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.