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Finding the Third Proportional to 497,375,957,104 and 764,030,318,555

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Solution

The third proportional to 497,375,957,104 and 764,030,318,555 is: 1,173,644,039,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,375,957,104 : 764,030,318,555 = 764,030,318,555 : x
  2. Step 2: Convert to fraction form
    497,375,957,104/764,030,318,555 = 764,030,318,555/x
  3. Step 3: Cross multiply
    497,375,957,104x = 764,030,318,555 × 764,030,318,555
  4. Step 4: Simplify right side
    497,375,957,104x = 583,742,327,671,254,805,381,120
  5. Step 5: Solve for x
    x = 583,742,327,671,254,805,381,120/497,375,957,104
  6. Step 6: Final answer
    x = 1,173,644,039,953.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.