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Finding the Third Proportional to 29,774,784 and 64,495,992

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Solution

The third proportional to 29,774,784 and 64,495,992 is: 139,706,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,774,784 : 64,495,992 = 64,495,992 : x
  2. Step 2: Convert to fraction form
    29,774,784/64,495,992 = 64,495,992/x
  3. Step 3: Cross multiply
    29,774,784x = 64,495,992 × 64,495,992
  4. Step 4: Simplify right side
    29,774,784x = 4,159,732,984,064,064
  5. Step 5: Solve for x
    x = 4,159,732,984,064,064/29,774,784
  6. Step 6: Final answer
    x = 139,706,571.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.