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Finding the Third Proportional to 78,110,069,006 and 169,535,923,712

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Solution

The third proportional to 78,110,069,006 and 169,535,923,712 is: 367,973,422,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,110,069,006 : 169,535,923,712 = 169,535,923,712 : x
  2. Step 2: Convert to fraction form
    78,110,069,006/169,535,923,712 = 169,535,923,712/x
  3. Step 3: Cross multiply
    78,110,069,006x = 169,535,923,712 × 169,535,923,712
  4. Step 4: Simplify right side
    78,110,069,006x = 28,742,429,428,881,085,693,952
  5. Step 5: Solve for x
    x = 28,742,429,428,881,085,693,952/78,110,069,006
  6. Step 6: Final answer
    x = 367,973,422,564.42

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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.