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Finding the Third Proportional to 607,309,898,285 and 1,264,886,478,153

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Solution

The third proportional to 607,309,898,285 and 1,264,886,478,153 is: 2,634,466,863,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,309,898,285 : 1,264,886,478,153 = 1,264,886,478,153 : x
  2. Step 2: Convert to fraction form
    607,309,898,285/1,264,886,478,153 = 1,264,886,478,153/x
  3. Step 3: Cross multiply
    607,309,898,285x = 1,264,886,478,153 × 1,264,886,478,153
  4. Step 4: Simplify right side
    607,309,898,285x = 1,599,937,802,614,299,839,954,944
  5. Step 5: Solve for x
    x = 1,599,937,802,614,299,839,954,944/607,309,898,285
  6. Step 6: Final answer
    x = 2,634,466,863,017.40

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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.