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Finding the Third Proportional to 7,137,095,584 and 15,460,155,584

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Solution

The third proportional to 7,137,095,584 and 15,460,155,584 is: 33,489,310,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137,095,584 : 15,460,155,584 = 15,460,155,584 : x
  2. Step 2: Convert to fraction form
    7,137,095,584/15,460,155,584 = 15,460,155,584/x
  3. Step 3: Cross multiply
    7,137,095,584x = 15,460,155,584 × 15,460,155,584
  4. Step 4: Simplify right side
    7,137,095,584x = 239,016,410,681,486,376,960
  5. Step 5: Solve for x
    x = 239,016,410,681,486,376,960/7,137,095,584
  6. Step 6: Final answer
    x = 33,489,310,584.17

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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.