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Finding the Third Proportional to 860,692,120,693.50 and 1,883,520,513,216

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Solution

The third proportional to 860,692,120,693.50 and 1,883,520,513,216 is: 4,121,856,629,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,692,120,693.50 : 1,883,520,513,216 = 1,883,520,513,216 : x
  2. Step 2: Convert to fraction form
    860,692,120,693.50/1,883,520,513,216 = 1,883,520,513,216/x
  3. Step 3: Cross multiply
    860,692,120,693.50x = 1,883,520,513,216 × 1,883,520,513,216
  4. Step 4: Simplify right side
    860,692,120,693.50x = 3,547,649,523,705,464,200,626,176
  5. Step 5: Solve for x
    x = 3,547,649,523,705,464,200,626,176/860,692,120,693.50
  6. Step 6: Final answer
    x = 4,121,856,629,577.32

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Why These Related Problems?

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