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Finding the Third Proportional to 12,485,642,304.66 and 18,039,596,999.06

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Solution

The third proportional to 12,485,642,304.66 and 18,039,596,999.06 is: 26,064,102,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485,642,304.66 : 18,039,596,999.06 = 18,039,596,999.06 : x
  2. Step 2: Convert to fraction form
    12,485,642,304.66/18,039,596,999.06 = 18,039,596,999.06/x
  3. Step 3: Cross multiply
    12,485,642,304.66x = 18,039,596,999.06 × 18,039,596,999.06
  4. Step 4: Simplify right side
    12,485,642,304.66x = 325,427,059,888,602,808,320
  5. Step 5: Solve for x
    x = 325,427,059,888,602,808,320/12,485,642,304.66
  6. Step 6: Final answer
    x = 26,064,102,426.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.