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Finding the Third Proportional to 692,973,580 and 1,540,885,135

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Solution

The third proportional to 692,973,580 and 1,540,885,135 is: 3,426,287,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,973,580 : 1,540,885,135 = 1,540,885,135 : x
  2. Step 2: Convert to fraction form
    692,973,580/1,540,885,135 = 1,540,885,135/x
  3. Step 3: Cross multiply
    692,973,580x = 1,540,885,135 × 1,540,885,135
  4. Step 4: Simplify right side
    692,973,580x = 2,374,326,999,263,968,256
  5. Step 5: Solve for x
    x = 2,374,326,999,263,968,256/692,973,580
  6. Step 6: Final answer
    x = 3,426,287,910.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.