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Finding the Third Proportional to 420,603,021 and 920,361,228.75

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Solution

The third proportional to 420,603,021 and 920,361,228.75 is: 2,013,929,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,603,021 : 920,361,228.75 = 920,361,228.75 : x
  2. Step 2: Convert to fraction form
    420,603,021/920,361,228.75 = 920,361,228.75/x
  3. Step 3: Cross multiply
    420,603,021x = 920,361,228.75 × 920,361,228.75
  4. Step 4: Simplify right side
    420,603,021x = 847,064,791,386,209,792
  5. Step 5: Solve for x
    x = 847,064,791,386,209,792/420,603,021
  6. Step 6: Final answer
    x = 2,013,929,403.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.