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Finding the Third Proportional to 7,186,232,113 and 15,637,870,625

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Solution

The third proportional to 7,186,232,113 and 15,637,870,625 is: 34,029,376,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186,232,113 : 15,637,870,625 = 15,637,870,625 : x
  2. Step 2: Convert to fraction form
    7,186,232,113/15,637,870,625 = 15,637,870,625/x
  3. Step 3: Cross multiply
    7,186,232,113x = 15,637,870,625 × 15,637,870,625
  4. Step 4: Simplify right side
    7,186,232,113x = 244,542,997,684,237,893,632
  5. Step 5: Solve for x
    x = 244,542,997,684,237,893,632/7,186,232,113
  6. Step 6: Final answer
    x = 34,029,376,429.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.