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Finding the Third Proportional to 416,113,160 and 612,103,884

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Solution

The third proportional to 416,113,160 and 612,103,884 is: 900,406,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,113,160 : 612,103,884 = 612,103,884 : x
  2. Step 2: Convert to fraction form
    416,113,160/612,103,884 = 612,103,884/x
  3. Step 3: Cross multiply
    416,113,160x = 612,103,884 × 612,103,884
  4. Step 4: Simplify right side
    416,113,160x = 374,671,164,807,885,440
  5. Step 5: Solve for x
    x = 374,671,164,807,885,440/416,113,160
  6. Step 6: Final answer
    x = 900,406,910.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.