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Finding the Third Proportional to 497,376,021,204 and 764,030,406,296

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Solution

The third proportional to 497,376,021,204 and 764,030,406,296 is: 1,173,644,158,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,376,021,204 : 764,030,406,296 = 764,030,406,296 : x
  2. Step 2: Convert to fraction form
    497,376,021,204/764,030,406,296 = 764,030,406,296/x
  3. Step 3: Cross multiply
    497,376,021,204x = 764,030,406,296 × 764,030,406,296
  4. Step 4: Simplify right side
    497,376,021,204x = 583,742,461,744,830,818,025,472
  5. Step 5: Solve for x
    x = 583,742,461,744,830,818,025,472/497,376,021,204
  6. Step 6: Final answer
    x = 1,173,644,158,260.31

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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.