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Finding the Third Proportional to 436,064,346 and 670,262,427

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Solution

The third proportional to 436,064,346 and 670,262,427 is: 1,030,241,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,064,346 : 670,262,427 = 670,262,427 : x
  2. Step 2: Convert to fraction form
    436,064,346/670,262,427 = 670,262,427/x
  3. Step 3: Cross multiply
    436,064,346x = 670,262,427 × 670,262,427
  4. Step 4: Simplify right side
    436,064,346x = 449,251,721,047,930,304
  5. Step 5: Solve for x
    x = 449,251,721,047,930,304/436,064,346
  6. Step 6: Final answer
    x = 1,030,241,809.88

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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.