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Finding the Third Proportional to 283,157,733,213 and 606,704,010,426

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Solution

The third proportional to 283,157,733,213 and 606,704,010,426 is: 1,299,945,977,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,157,733,213 : 606,704,010,426 = 606,704,010,426 : x
  2. Step 2: Convert to fraction form
    283,157,733,213/606,704,010,426 = 606,704,010,426/x
  3. Step 3: Cross multiply
    283,157,733,213x = 606,704,010,426 × 606,704,010,426
  4. Step 4: Simplify right side
    283,157,733,213x = 368,089,756,266,991,911,436,288
  5. Step 5: Solve for x
    x = 368,089,756,266,991,911,436,288/283,157,733,213
  6. Step 6: Final answer
    x = 1,299,945,977,424.90

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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.