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Finding the Third Proportional to 633,015,848 and 1,349,644,432

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Solution

The third proportional to 633,015,848 and 1,349,644,432 is: 2,877,558,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,015,848 : 1,349,644,432 = 1,349,644,432 : x
  2. Step 2: Convert to fraction form
    633,015,848/1,349,644,432 = 1,349,644,432/x
  3. Step 3: Cross multiply
    633,015,848x = 1,349,644,432 × 1,349,644,432
  4. Step 4: Simplify right side
    633,015,848x = 1,821,540,092,828,602,624
  5. Step 5: Solve for x
    x = 1,821,540,092,828,602,624/633,015,848
  6. Step 6: Final answer
    x = 2,877,558,434.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.