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Finding the Third Proportional to 2,762,076,050 and 5,918,127,028

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Solution

The third proportional to 2,762,076,050 and 5,918,127,028 is: 12,680,399,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762,076,050 : 5,918,127,028 = 5,918,127,028 : x
  2. Step 2: Convert to fraction form
    2,762,076,050/5,918,127,028 = 5,918,127,028/x
  3. Step 3: Cross multiply
    2,762,076,050x = 5,918,127,028 × 5,918,127,028
  4. Step 4: Simplify right side
    2,762,076,050x = 35,024,227,519,544,111,104
  5. Step 5: Solve for x
    x = 35,024,227,519,544,111,104/2,762,076,050
  6. Step 6: Final answer
    x = 12,680,399,411.72

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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.