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Finding the Third Proportional to 5,280,494,710 and 11,190,547,718

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Solution

The third proportional to 5,280,494,710 and 11,190,547,718 is: 23,715,270,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,494,710 : 11,190,547,718 = 11,190,547,718 : x
  2. Step 2: Convert to fraction form
    5,280,494,710/11,190,547,718 = 11,190,547,718/x
  3. Step 3: Cross multiply
    5,280,494,710x = 11,190,547,718 × 11,190,547,718
  4. Step 4: Simplify right side
    5,280,494,710x = 125,228,358,228,835,008,512
  5. Step 5: Solve for x
    x = 125,228,358,228,835,008,512/5,280,494,710
  6. Step 6: Final answer
    x = 23,715,270,084.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.