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Finding the Third Proportional to 2,388,698,675.44 and 3,583,048,388.63

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Solution

The third proportional to 2,388,698,675.44 and 3,583,048,388.63 is: 5,374,573,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388,698,675.44 : 3,583,048,388.63 = 3,583,048,388.63 : x
  2. Step 2: Convert to fraction form
    2,388,698,675.44/3,583,048,388.63 = 3,583,048,388.63/x
  3. Step 3: Cross multiply
    2,388,698,675.44x = 3,583,048,388.63 × 3,583,048,388.63
  4. Step 4: Simplify right side
    2,388,698,675.44x = 12,838,235,755,228,209,152
  5. Step 5: Solve for x
    x = 12,838,235,755,228,209,152/2,388,698,675.44
  6. Step 6: Final answer
    x = 5,374,573,146.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.