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Finding the Third Proportional to 7,878,058,085 and 17,013,973,330

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Solution

The third proportional to 7,878,058,085 and 17,013,973,330 is: 36,744,497,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878,058,085 : 17,013,973,330 = 17,013,973,330 : x
  2. Step 2: Convert to fraction form
    7,878,058,085/17,013,973,330 = 17,013,973,330/x
  3. Step 3: Cross multiply
    7,878,058,085x = 17,013,973,330 × 17,013,973,330
  4. Step 4: Simplify right side
    7,878,058,085x = 289,475,288,473,951,272,960
  5. Step 5: Solve for x
    x = 289,475,288,473,951,272,960/7,878,058,085
  6. Step 6: Final answer
    x = 36,744,497,863.64

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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.