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Finding the Third Proportional to 750,167,986,235 and 1,609,235,113,079

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Solution

The third proportional to 750,167,986,235 and 1,609,235,113,079 is: 3,452,076,996,998.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,167,986,235 : 1,609,235,113,079 = 1,609,235,113,079 : x
  2. Step 2: Convert to fraction form
    750,167,986,235/1,609,235,113,079 = 1,609,235,113,079/x
  3. Step 3: Cross multiply
    750,167,986,235x = 1,609,235,113,079 × 1,609,235,113,079
  4. Step 4: Simplify right side
    750,167,986,235x = 2,589,637,649,166,381,812,285,440
  5. Step 5: Solve for x
    x = 2,589,637,649,166,381,812,285,440/750,167,986,235
  6. Step 6: Final answer
    x = 3,452,076,996,998.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.