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Finding the Third Proportional to 2,388,698,622 and 3,583,048,308

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Solution

The third proportional to 2,388,698,622 and 3,583,048,308 is: 5,374,573,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388,698,622 : 3,583,048,308 = 3,583,048,308 : x
  2. Step 2: Convert to fraction form
    2,388,698,622/3,583,048,308 = 3,583,048,308/x
  3. Step 3: Cross multiply
    2,388,698,622x = 3,583,048,308 × 3,583,048,308
  4. Step 4: Simplify right side
    2,388,698,622x = 12,838,235,177,461,663,744
  5. Step 5: Solve for x
    x = 12,838,235,177,461,663,744/2,388,698,622
  6. Step 6: Final answer
    x = 5,374,573,024.50

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Why These Related Problems?

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