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Finding the Third Proportional to 66,913,024 and 102,292,773

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Solution

The third proportional to 66,913,024 and 102,292,773 is: 156,379,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,913,024 : 102,292,773 = 102,292,773 : x
  2. Step 2: Convert to fraction form
    66,913,024/102,292,773 = 102,292,773/x
  3. Step 3: Cross multiply
    66,913,024x = 102,292,773 × 102,292,773
  4. Step 4: Simplify right side
    66,913,024x = 10,463,811,408,029,528
  5. Step 5: Solve for x
    x = 10,463,811,408,029,528/66,913,024
  6. Step 6: Final answer
    x = 156,379,293.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.