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Finding the Third Proportional to 115,710,640 and 247,114,032

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Solution

The third proportional to 115,710,640 and 247,114,032 is: 527,741,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,710,640 : 247,114,032 = 247,114,032 : x
  2. Step 2: Convert to fraction form
    115,710,640/247,114,032 = 247,114,032/x
  3. Step 3: Cross multiply
    115,710,640x = 247,114,032 × 247,114,032
  4. Step 4: Simplify right side
    115,710,640x = 61,065,344,811,297,024
  5. Step 5: Solve for x
    x = 61,065,344,811,297,024/115,710,640
  6. Step 6: Final answer
    x = 527,741,829.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.