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Finding the Third Proportional to 1,076,875,768 and 2,342,431,315

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Solution

The third proportional to 1,076,875,768 and 2,342,431,315 is: 5,095,280,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,875,768 : 2,342,431,315 = 2,342,431,315 : x
  2. Step 2: Convert to fraction form
    1,076,875,768/2,342,431,315 = 2,342,431,315/x
  3. Step 3: Cross multiply
    1,076,875,768x = 2,342,431,315 × 2,342,431,315
  4. Step 4: Simplify right side
    1,076,875,768x = 5,486,984,465,492,629,504
  5. Step 5: Solve for x
    x = 5,486,984,465,492,629,504/1,076,875,768
  6. Step 6: Final answer
    x = 5,095,280,837.90

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Why These Related Problems?

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