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Finding the Third Proportional to 12,365,784 and 26,374,968

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Solution

The third proportional to 12,365,784 and 26,374,968 is: 56,255,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365,784 : 26,374,968 = 26,374,968 : x
  2. Step 2: Convert to fraction form
    12,365,784/26,374,968 = 26,374,968/x
  3. Step 3: Cross multiply
    12,365,784x = 26,374,968 × 26,374,968
  4. Step 4: Simplify right side
    12,365,784x = 695,638,937,001,024
  5. Step 5: Solve for x
    x = 695,638,937,001,024/12,365,784
  6. Step 6: Final answer
    x = 56,255,142.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.