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Finding the Third Proportional to 5,623,238,770 and 11,711,909,706

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Solution

The third proportional to 5,623,238,770 and 11,711,909,706 is: 24,393,207,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623,238,770 : 11,711,909,706 = 11,711,909,706 : x
  2. Step 2: Convert to fraction form
    5,623,238,770/11,711,909,706 = 11,711,909,706/x
  3. Step 3: Cross multiply
    5,623,238,770x = 11,711,909,706 × 11,711,909,706
  4. Step 4: Simplify right side
    5,623,238,770x = 137,168,828,961,497,006,080
  5. Step 5: Solve for x
    x = 137,168,828,961,497,006,080/5,623,238,770
  6. Step 6: Final answer
    x = 24,393,207,290.66

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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.