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Finding the Third Proportional to 519,434,271,960 and 1,117,041,615,705

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Solution

The third proportional to 519,434,271,960 and 1,117,041,615,705 is: 2,402,194,153,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,434,271,960 : 1,117,041,615,705 = 1,117,041,615,705 : x
  2. Step 2: Convert to fraction form
    519,434,271,960/1,117,041,615,705 = 1,117,041,615,705/x
  3. Step 3: Cross multiply
    519,434,271,960x = 1,117,041,615,705 × 1,117,041,615,705
  4. Step 4: Simplify right side
    519,434,271,960x = 1,247,781,971,216,836,954,423,296
  5. Step 5: Solve for x
    x = 1,247,781,971,216,836,954,423,296/519,434,271,960
  6. Step 6: Final answer
    x = 2,402,194,153,474.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.