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Finding the Third Proportional to 634,758,018.75 and 980,436,079.13

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Solution

The third proportional to 634,758,018.75 and 980,436,079.13 is: 1,514,364,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,758,018.75 : 980,436,079.13 = 980,436,079.13 : x
  2. Step 2: Convert to fraction form
    634,758,018.75/980,436,079.13 = 980,436,079.13/x
  3. Step 3: Cross multiply
    634,758,018.75x = 980,436,079.13 × 980,436,079.13
  4. Step 4: Simplify right side
    634,758,018.75x = 961,254,905,250,003,200
  5. Step 5: Solve for x
    x = 961,254,905,250,003,200/634,758,018.75
  6. Step 6: Final answer
    x = 1,514,364,335.47

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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.