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Finding the Third Proportional to 52,106,136 and 76,643,613

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Solution

The third proportional to 52,106,136 and 76,643,613 is: 112,736,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106,136 : 76,643,613 = 76,643,613 : x
  2. Step 2: Convert to fraction form
    52,106,136/76,643,613 = 76,643,613/x
  3. Step 3: Cross multiply
    52,106,136x = 76,643,613 × 76,643,613
  4. Step 4: Simplify right side
    52,106,136x = 5,874,243,413,693,769
  5. Step 5: Solve for x
    x = 5,874,243,413,693,769/52,106,136
  6. Step 6: Final answer
    x = 112,736,116.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.