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Finding the Third Proportional to 519,434,271,939 and 1,117,041,615,660

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Solution

The third proportional to 519,434,271,939 and 1,117,041,615,660 is: 2,402,194,153,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,434,271,939 : 1,117,041,615,660 = 1,117,041,615,660 : x
  2. Step 2: Convert to fraction form
    519,434,271,939/1,117,041,615,660 = 1,117,041,615,660/x
  3. Step 3: Cross multiply
    519,434,271,939x = 1,117,041,615,660 × 1,117,041,615,660
  4. Step 4: Simplify right side
    519,434,271,939x = 1,247,781,971,116,303,044,313,088
  5. Step 5: Solve for x
    x = 1,247,781,971,116,303,044,313,088/519,434,271,939
  6. Step 6: Final answer
    x = 2,402,194,153,378.54

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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.