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Finding the Third Proportional to 60,897,480,633 and 126,806,566,323

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Solution

The third proportional to 60,897,480,633 and 126,806,566,323 is: 264,048,776,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,897,480,633 : 126,806,566,323 = 126,806,566,323 : x
  2. Step 2: Convert to fraction form
    60,897,480,633/126,806,566,323 = 126,806,566,323/x
  3. Step 3: Cross multiply
    60,897,480,633x = 126,806,566,323 × 126,806,566,323
  4. Step 4: Simplify right side
    60,897,480,633x = 16,079,905,262,629,396,938,752
  5. Step 5: Solve for x
    x = 16,079,905,262,629,396,938,752/60,897,480,633
  6. Step 6: Final answer
    x = 264,048,776,656.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.