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Finding the Third Proportional to 1,076,112,000 and 2,317,266,496

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Solution

The third proportional to 1,076,112,000 and 2,317,266,496 is: 4,989,930,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,112,000 : 2,317,266,496 = 2,317,266,496 : x
  2. Step 2: Convert to fraction form
    1,076,112,000/2,317,266,496 = 2,317,266,496/x
  3. Step 3: Cross multiply
    1,076,112,000x = 2,317,266,496 × 2,317,266,496
  4. Step 4: Simplify right side
    1,076,112,000x = 5,369,724,013,484,118,016
  5. Step 5: Solve for x
    x = 5,369,724,013,484,118,016/1,076,112,000
  6. Step 6: Final answer
    x = 4,989,930,428.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.