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Finding the Third Proportional to 132,044,920,674 and 286,016,055,504

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Solution

The third proportional to 132,044,920,674 and 286,016,055,504 is: 619,525,412,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,044,920,674 : 286,016,055,504 = 286,016,055,504 : x
  2. Step 2: Convert to fraction form
    132,044,920,674/286,016,055,504 = 286,016,055,504/x
  3. Step 3: Cross multiply
    132,044,920,674x = 286,016,055,504 × 286,016,055,504
  4. Step 4: Simplify right side
    132,044,920,674x = 81,805,184,006,067,215,925,248
  5. Step 5: Solve for x
    x = 81,805,184,006,067,215,925,248/132,044,920,674
  6. Step 6: Final answer
    x = 619,525,412,931.50

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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.