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Finding the Third Proportional to 78,110,068,999 and 169,535,923,700

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Solution

The third proportional to 78,110,068,999 and 169,535,923,700 is: 367,973,422,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,110,068,999 : 169,535,923,700 = 169,535,923,700 : x
  2. Step 2: Convert to fraction form
    78,110,068,999/169,535,923,700 = 169,535,923,700/x
  3. Step 3: Cross multiply
    78,110,068,999x = 169,535,923,700 × 169,535,923,700
  4. Step 4: Simplify right side
    78,110,068,999x = 28,742,429,424,812,220,743,680
  5. Step 5: Solve for x
    x = 28,742,429,424,812,220,743,680/78,110,068,999
  6. Step 6: Final answer
    x = 367,973,422,545.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.