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Finding the Third Proportional to 3,244,255,100 and 6,660,497,946

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Solution

The third proportional to 3,244,255,100 and 6,660,497,946 is: 13,674,088,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244,255,100 : 6,660,497,946 = 6,660,497,946 : x
  2. Step 2: Convert to fraction form
    3,244,255,100/6,660,497,946 = 6,660,497,946/x
  3. Step 3: Cross multiply
    3,244,255,100x = 6,660,497,946 × 6,660,497,946
  4. Step 4: Simplify right side
    3,244,255,100x = 44,362,232,888,670,216,192
  5. Step 5: Solve for x
    x = 44,362,232,888,670,216,192/3,244,255,100
  6. Step 6: Final answer
    x = 13,674,088,973.05

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.