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Finding the Third Proportional to 3,084,777,492 and 4,699,445,130

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Solution

The third proportional to 3,084,777,492 and 4,699,445,130 is: 7,159,279,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,777,492 : 4,699,445,130 = 4,699,445,130 : x
  2. Step 2: Convert to fraction form
    3,084,777,492/4,699,445,130 = 4,699,445,130/x
  3. Step 3: Cross multiply
    3,084,777,492x = 4,699,445,130 × 4,699,445,130
  4. Step 4: Simplify right side
    3,084,777,492x = 22,084,784,529,880,715,264
  5. Step 5: Solve for x
    x = 22,084,784,529,880,715,264/3,084,777,492
  6. Step 6: Final answer
    x = 7,159,279,587.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.