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Finding the Third Proportional to 1,368,002,352 and 2,870,373,984

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Solution

The third proportional to 1,368,002,352 and 2,870,373,984 is: 6,022,684,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,002,352 : 2,870,373,984 = 2,870,373,984 : x
  2. Step 2: Convert to fraction form
    1,368,002,352/2,870,373,984 = 2,870,373,984/x
  3. Step 3: Cross multiply
    1,368,002,352x = 2,870,373,984 × 2,870,373,984
  4. Step 4: Simplify right side
    1,368,002,352x = 8,239,046,808,024,032,256
  5. Step 5: Solve for x
    x = 8,239,046,808,024,032,256/1,368,002,352
  6. Step 6: Final answer
    x = 6,022,684,680.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.