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Finding the Third Proportional to 32,456,457 and 68,534,586

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Solution

The third proportional to 32,456,457 and 68,534,586 is: 144,716,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,456,457 : 68,534,586 = 68,534,586 : x
  2. Step 2: Convert to fraction form
    32,456,457/68,534,586 = 68,534,586/x
  3. Step 3: Cross multiply
    32,456,457x = 68,534,586 × 68,534,586
  4. Step 4: Simplify right side
    32,456,457x = 4,696,989,478,191,396
  5. Step 5: Solve for x
    x = 4,696,989,478,191,396/32,456,457
  6. Step 6: Final answer
    x = 144,716,642.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.