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Finding the Third Proportional to 7,878,058,087 and 17,013,973,334

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Solution

The third proportional to 7,878,058,087 and 17,013,973,334 is: 36,744,497,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878,058,087 : 17,013,973,334 = 17,013,973,334 : x
  2. Step 2: Convert to fraction form
    7,878,058,087/17,013,973,334 = 17,013,973,334/x
  3. Step 3: Cross multiply
    7,878,058,087x = 17,013,973,334 × 17,013,973,334
  4. Step 4: Simplify right side
    7,878,058,087x = 289,475,288,610,063,089,664
  5. Step 5: Solve for x
    x = 289,475,288,610,063,089,664/7,878,058,087
  6. Step 6: Final answer
    x = 36,744,497,871.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.