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Finding the Third Proportional to 2,762,076,048 and 5,918,127,024

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Solution

The third proportional to 2,762,076,048 and 5,918,127,024 is: 12,680,399,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762,076,048 : 5,918,127,024 = 5,918,127,024 : x
  2. Step 2: Convert to fraction form
    2,762,076,048/5,918,127,024 = 5,918,127,024/x
  3. Step 3: Cross multiply
    2,762,076,048x = 5,918,127,024 × 5,918,127,024
  4. Step 4: Simplify right side
    2,762,076,048x = 35,024,227,472,199,098,368
  5. Step 5: Solve for x
    x = 35,024,227,472,199,098,368/2,762,076,048
  6. Step 6: Final answer
    x = 12,680,399,403.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.