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Finding the Third Proportional to 6,326,545,901,982 and 9,678,906,875,377

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Solution

The third proportional to 6,326,545,901,982 and 9,678,906,875,377 is: 14,807,643,816,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326,545,901,982 : 9,678,906,875,377 = 9,678,906,875,377 : x
  2. Step 2: Convert to fraction form
    6,326,545,901,982/9,678,906,875,377 = 9,678,906,875,377/x
  3. Step 3: Cross multiply
    6,326,545,901,982x = 9,678,906,875,377 × 9,678,906,875,377
  4. Step 4: Simplify right side
    6,326,545,901,982x = 93,681,238,302,220,156,974,137,344
  5. Step 5: Solve for x
    x = 93,681,238,302,220,156,974,137,344/6,326,545,901,982
  6. Step 6: Final answer
    x = 14,807,643,816,015.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.