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Finding the Third Proportional to 7,137,095,548 and 15,460,155,512

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Solution

The third proportional to 7,137,095,548 and 15,460,155,512 is: 33,489,310,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137,095,548 : 15,460,155,512 = 15,460,155,512 : x
  2. Step 2: Convert to fraction form
    7,137,095,548/15,460,155,512 = 15,460,155,512/x
  3. Step 3: Cross multiply
    7,137,095,548x = 15,460,155,512 × 15,460,155,512
  4. Step 4: Simplify right side
    7,137,095,548x = 239,016,408,455,223,967,744
  5. Step 5: Solve for x
    x = 239,016,408,455,223,967,744/7,137,095,548
  6. Step 6: Final answer
    x = 33,489,310,441.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.