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Finding the Third Proportional to 555,079,044,702 and 748,931,960,832

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Solution

The third proportional to 555,079,044,702 and 748,931,960,832 is: 1,010,485,060,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,079,044,702 : 748,931,960,832 = 748,931,960,832 : x
  2. Step 2: Convert to fraction form
    555,079,044,702/748,931,960,832 = 748,931,960,832/x
  3. Step 3: Cross multiply
    555,079,044,702x = 748,931,960,832 × 748,931,960,832
  4. Step 4: Simplify right side
    555,079,044,702x = 560,899,081,955,664,365,355,008
  5. Step 5: Solve for x
    x = 560,899,081,955,664,365,355,008/555,079,044,702
  6. Step 6: Final answer
    x = 1,010,485,060,297.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.