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Finding the Third Proportional to 10,615,931,700 and 16,483,257,771.75

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Solution

The third proportional to 10,615,931,700 and 16,483,257,771.75 is: 25,593,400,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615,931,700 : 16,483,257,771.75 = 16,483,257,771.75 : x
  2. Step 2: Convert to fraction form
    10,615,931,700/16,483,257,771.75 = 16,483,257,771.75/x
  3. Step 3: Cross multiply
    10,615,931,700x = 16,483,257,771.75 × 16,483,257,771.75
  4. Step 4: Simplify right side
    10,615,931,700x = 271,697,786,769,956,765,696
  5. Step 5: Solve for x
    x = 271,697,786,769,956,765,696/10,615,931,700
  6. Step 6: Final answer
    x = 25,593,400,037.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.