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Finding the Third Proportional to 10,899,225,864 and 23,861,858,688

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Solution

The third proportional to 10,899,225,864 and 23,861,858,688 is: 52,241,168,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899,225,864 : 23,861,858,688 = 23,861,858,688 : x
  2. Step 2: Convert to fraction form
    10,899,225,864/23,861,858,688 = 23,861,858,688/x
  3. Step 3: Cross multiply
    10,899,225,864x = 23,861,858,688 × 23,861,858,688
  4. Step 4: Simplify right side
    10,899,225,864x = 569,388,300,046,081,064,960
  5. Step 5: Solve for x
    x = 569,388,300,046,081,064,960/10,899,225,864
  6. Step 6: Final answer
    x = 52,241,168,973.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.