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Finding the Third Proportional to 416,253,677.63 and 925,575,106.50

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Solution

The third proportional to 416,253,677.63 and 925,575,106.50 is: 2,058,094,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,253,677.63 : 925,575,106.50 = 925,575,106.50 : x
  2. Step 2: Convert to fraction form
    416,253,677.63/925,575,106.50 = 925,575,106.50/x
  3. Step 3: Cross multiply
    416,253,677.63x = 925,575,106.50 × 925,575,106.50
  4. Step 4: Simplify right side
    416,253,677.63x = 856,689,277,772,486,400
  5. Step 5: Solve for x
    x = 856,689,277,772,486,400/416,253,677.63
  6. Step 6: Final answer
    x = 2,058,094,195.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.