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Finding the Third Proportional to 8,671,477,396.50 and 13,798,025,214.05

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Solution

The third proportional to 8,671,477,396.50 and 13,798,025,214.05 is: 21,955,370,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671,477,396.50 : 13,798,025,214.05 = 13,798,025,214.05 : x
  2. Step 2: Convert to fraction form
    8,671,477,396.50/13,798,025,214.05 = 13,798,025,214.05/x
  3. Step 3: Cross multiply
    8,671,477,396.50x = 13,798,025,214.05 × 13,798,025,214.05
  4. Step 4: Simplify right side
    8,671,477,396.50x = 190,385,499,807,449,153,536
  5. Step 5: Solve for x
    x = 190,385,499,807,449,153,536/8,671,477,396.50
  6. Step 6: Final answer
    x = 21,955,370,590.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.