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Finding the Third Proportional to 42,883,425 and 66,262,001.63

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Solution

The third proportional to 42,883,425 and 66,262,001.63 is: 102,385,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,883,425 : 66,262,001.63 = 66,262,001.63 : x
  2. Step 2: Convert to fraction form
    42,883,425/66,262,001.63 = 66,262,001.63/x
  3. Step 3: Cross multiply
    42,883,425x = 66,262,001.63 × 66,262,001.63
  4. Step 4: Simplify right side
    42,883,425x = 4,390,652,859,351,502.50
  5. Step 5: Solve for x
    x = 4,390,652,859,351,502.50/42,883,425
  6. Step 6: Final answer
    x = 102,385,778.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.