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Finding the Third Proportional to 634,831,256.25 and 980,552,864.25

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Solution

The third proportional to 634,831,256.25 and 980,552,864.25 is: 1,514,550,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,831,256.25 : 980,552,864.25 = 980,552,864.25 : x
  2. Step 2: Convert to fraction form
    634,831,256.25/980,552,864.25 = 980,552,864.25/x
  3. Step 3: Cross multiply
    634,831,256.25x = 980,552,864.25 × 980,552,864.25
  4. Step 4: Simplify right side
    634,831,256.25x = 961,483,919,588,878,976
  5. Step 5: Solve for x
    x = 961,483,919,588,878,976/634,831,256.25
  6. Step 6: Final answer
    x = 1,514,550,378.74

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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.