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Finding the Third Proportional to 283,157,733,215 and 606,704,010,430

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Solution

The third proportional to 283,157,733,215 and 606,704,010,430 is: 1,299,945,977,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,157,733,215 : 606,704,010,430 = 606,704,010,430 : x
  2. Step 2: Convert to fraction form
    283,157,733,215/606,704,010,430 = 606,704,010,430/x
  3. Step 3: Cross multiply
    283,157,733,215x = 606,704,010,430 × 606,704,010,430
  4. Step 4: Simplify right side
    283,157,733,215x = 368,089,756,271,845,560,025,088
  5. Step 5: Solve for x
    x = 368,089,756,271,845,560,025,088/283,157,733,215
  6. Step 6: Final answer
    x = 1,299,945,977,432.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.