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Finding the Third Proportional to 5,623,238,776 and 11,711,909,718

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Solution

The third proportional to 5,623,238,776 and 11,711,909,718 is: 24,393,207,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623,238,776 : 11,711,909,718 = 11,711,909,718 : x
  2. Step 2: Convert to fraction form
    5,623,238,776/11,711,909,718 = 11,711,909,718/x
  3. Step 3: Cross multiply
    5,623,238,776x = 11,711,909,718 × 11,711,909,718
  4. Step 4: Simplify right side
    5,623,238,776x = 137,168,829,242,582,843,392
  5. Step 5: Solve for x
    x = 137,168,829,242,582,843,392/5,623,238,776
  6. Step 6: Final answer
    x = 24,393,207,314.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.