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Finding the Third Proportional to 10,903,367,624 and 23,717,118,080

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Solution

The third proportional to 10,903,367,624 and 23,717,118,080 is: 51,589,720,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903,367,624 : 23,717,118,080 = 23,717,118,080 : x
  2. Step 2: Convert to fraction form
    10,903,367,624/23,717,118,080 = 23,717,118,080/x
  3. Step 3: Cross multiply
    10,903,367,624x = 23,717,118,080 × 23,717,118,080
  4. Step 4: Simplify right side
    10,903,367,624x = 562,501,690,020,662,870,016
  5. Step 5: Solve for x
    x = 562,501,690,020,662,870,016/10,903,367,624
  6. Step 6: Final answer
    x = 51,589,720,664.15

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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.