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Finding the Third Proportional to 10,607,664,574 and 23,098,623,202

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Solution

The third proportional to 10,607,664,574 and 23,098,623,202 is: 50,298,196,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607,664,574 : 23,098,623,202 = 23,098,623,202 : x
  2. Step 2: Convert to fraction form
    10,607,664,574/23,098,623,202 = 23,098,623,202/x
  3. Step 3: Cross multiply
    10,607,664,574x = 23,098,623,202 × 23,098,623,202
  4. Step 4: Simplify right side
    10,607,664,574x = 533,546,393,827,972,743,168
  5. Step 5: Solve for x
    x = 533,546,393,827,972,743,168/10,607,664,574
  6. Step 6: Final answer
    x = 50,298,196,186.91

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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.