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Finding the Third Proportional to 2,755,351,740 and 4,254,832,830

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Solution

The third proportional to 2,755,351,740 and 4,254,832,830 is: 6,570,341,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755,351,740 : 4,254,832,830 = 4,254,832,830 : x
  2. Step 2: Convert to fraction form
    2,755,351,740/4,254,832,830 = 4,254,832,830/x
  3. Step 3: Cross multiply
    2,755,351,740x = 4,254,832,830 × 4,254,832,830
  4. Step 4: Simplify right side
    2,755,351,740x = 18,103,602,411,245,809,664
  5. Step 5: Solve for x
    x = 18,103,602,411,245,809,664/2,755,351,740
  6. Step 6: Final answer
    x = 6,570,341,691.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.