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Finding the Third Proportional to 41,583,884,700 and 90,787,922,574

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Solution

The third proportional to 41,583,884,700 and 90,787,922,574 is: 198,212,527,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,583,884,700 : 90,787,922,574 = 90,787,922,574 : x
  2. Step 2: Convert to fraction form
    41,583,884,700/90,787,922,574 = 90,787,922,574/x
  3. Step 3: Cross multiply
    41,583,884,700x = 90,787,922,574 × 90,787,922,574
  4. Step 4: Simplify right side
    41,583,884,700x = 8,242,446,885,302,618,292,224
  5. Step 5: Solve for x
    x = 8,242,446,885,302,618,292,224/41,583,884,700
  6. Step 6: Final answer
    x = 198,212,527,395.32

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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.