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Finding the Third Proportional to 1,076,875,762.50 and 2,342,431,305

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Solution

The third proportional to 1,076,875,762.50 and 2,342,431,305 is: 5,095,280,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,875,762.50 : 2,342,431,305 = 2,342,431,305 : x
  2. Step 2: Convert to fraction form
    1,076,875,762.50/2,342,431,305 = 2,342,431,305/x
  3. Step 3: Cross multiply
    1,076,875,762.50x = 2,342,431,305 × 2,342,431,305
  4. Step 4: Simplify right side
    1,076,875,762.50x = 5,486,984,418,644,002,816
  5. Step 5: Solve for x
    x = 5,486,984,418,644,002,816/1,076,875,762.50
  6. Step 6: Final answer
    x = 5,095,280,820.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.