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Finding the Third Proportional to 1,018,781,713,869.80 and 2,180,678,048,340.80

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Solution

The third proportional to 1,018,781,713,869.80 and 2,180,678,048,340.80 is: 4,667,689,541,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,781,713,869.80 : 2,180,678,048,340.80 = 2,180,678,048,340.80 : x
  2. Step 2: Convert to fraction form
    1,018,781,713,869.80/2,180,678,048,340.80 = 2,180,678,048,340.80/x
  3. Step 3: Cross multiply
    1,018,781,713,869.80x = 2,180,678,048,340.80 × 2,180,678,048,340.80
  4. Step 4: Simplify right side
    1,018,781,713,869.80x = 4,755,356,750,515,440,728,408,064
  5. Step 5: Solve for x
    x = 4,755,356,750,515,440,728,408,064/1,018,781,713,869.80
  6. Step 6: Final answer
    x = 4,667,689,541,121.05

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