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Finding the Third Proportional to 34,971,751,944 and 53,720,888,634

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Solution

The third proportional to 34,971,751,944 and 53,720,888,634 is: 82,521,855,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,971,751,944 : 53,720,888,634 = 53,720,888,634 : x
  2. Step 2: Convert to fraction form
    34,971,751,944/53,720,888,634 = 53,720,888,634/x
  3. Step 3: Cross multiply
    34,971,751,944x = 53,720,888,634 × 53,720,888,634
  4. Step 4: Simplify right side
    34,971,751,944x = 2,885,933,875,626,630,447,104
  5. Step 5: Solve for x
    x = 2,885,933,875,626,630,447,104/34,971,751,944
  6. Step 6: Final answer
    x = 82,521,855,932.41

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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.