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Finding the Third Proportional to 1,076,313,728 and 1,684,724,950

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Solution

The third proportional to 1,076,313,728 and 1,684,724,950 is: 2,637,054,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,313,728 : 1,684,724,950 = 1,684,724,950 : x
  2. Step 2: Convert to fraction form
    1,076,313,728/1,684,724,950 = 1,684,724,950/x
  3. Step 3: Cross multiply
    1,076,313,728x = 1,684,724,950 × 1,684,724,950
  4. Step 4: Simplify right side
    1,076,313,728x = 2,838,298,157,152,502,272
  5. Step 5: Solve for x
    x = 2,838,298,157,152,502,272/1,076,313,728
  6. Step 6: Final answer
    x = 2,637,054,683.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.