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Finding the Third Proportional to 30,220,210,422 and 64,685,642,112

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Solution

The third proportional to 30,220,210,422 and 64,685,642,112 is: 138,458,079,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,220,210,422 : 64,685,642,112 = 64,685,642,112 : x
  2. Step 2: Convert to fraction form
    30,220,210,422/64,685,642,112 = 64,685,642,112/x
  3. Step 3: Cross multiply
    30,220,210,422x = 64,685,642,112 × 64,685,642,112
  4. Step 4: Simplify right side
    30,220,210,422x = 4,184,232,295,441,747,673,088
  5. Step 5: Solve for x
    x = 4,184,232,295,441,747,673,088/30,220,210,422
  6. Step 6: Final answer
    x = 138,458,079,444.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.