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Finding the Third Proportional to 634,990,838,197.90 and 970,708,032,331.90

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Solution

The third proportional to 634,990,838,197.90 and 970,708,032,331.90 is: 1,483,917,605,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,990,838,197.90 : 970,708,032,331.90 = 970,708,032,331.90 : x
  2. Step 2: Convert to fraction form
    634,990,838,197.90/970,708,032,331.90 = 970,708,032,331.90/x
  3. Step 3: Cross multiply
    634,990,838,197.90x = 970,708,032,331.90 × 970,708,032,331.90
  4. Step 4: Simplify right side
    634,990,838,197.90x = 942,274,084,033,669,005,049,856
  5. Step 5: Solve for x
    x = 942,274,084,033,669,005,049,856/634,990,838,197.90
  6. Step 6: Final answer
    x = 1,483,917,605,343.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.