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Finding the Third Proportional to 21,350,736,931 and 44,468,661,301

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Solution

The third proportional to 21,350,736,931 and 44,468,661,301 is: 92,617,966,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,350,736,931 : 44,468,661,301 = 44,468,661,301 : x
  2. Step 2: Convert to fraction form
    21,350,736,931/44,468,661,301 = 44,468,661,301/x
  3. Step 3: Cross multiply
    21,350,736,931x = 44,468,661,301 × 44,468,661,301
  4. Step 4: Simplify right side
    21,350,736,931x = 1,977,461,837,903,055,028,224
  5. Step 5: Solve for x
    x = 1,977,461,837,903,055,028,224/21,350,736,931
  6. Step 6: Final answer
    x = 92,617,966,503.62

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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.