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Finding the Third Proportional to 31,407,651,762,898 and 68,731,843,762,700

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Solution

The third proportional to 31,407,651,762,898 and 68,731,843,762,700 is: 150,411,319,594,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407,651,762,898 : 68,731,843,762,700 = 68,731,843,762,700 : x
  2. Step 2: Convert to fraction form
    31,407,651,762,898/68,731,843,762,700 = 68,731,843,762,700/x
  3. Step 3: Cross multiply
    31,407,651,762,898x = 68,731,843,762,700 × 68,731,843,762,700
  4. Step 4: Simplify right side
    31,407,651,762,898x = 4,724,066,347,020,202,949,597,986,816
  5. Step 5: Solve for x
    x = 4,724,066,347,020,202,949,597,986,816/31,407,651,762,898
  6. Step 6: Final answer
    x = 150,411,319,594,442.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.