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Finding the Third Proportional to 531,240,666,136 and 1,147,132,079,792

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Solution

The third proportional to 531,240,666,136 and 1,147,132,079,792 is: 2,477,054,360,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,240,666,136 : 1,147,132,079,792 = 1,147,132,079,792 : x
  2. Step 2: Convert to fraction form
    531,240,666,136/1,147,132,079,792 = 1,147,132,079,792/x
  3. Step 3: Cross multiply
    531,240,666,136x = 1,147,132,079,792 × 1,147,132,079,792
  4. Step 4: Simplify right side
    531,240,666,136x = 1,315,912,008,487,919,385,837,568
  5. Step 5: Solve for x
    x = 1,315,912,008,487,919,385,837,568/531,240,666,136
  6. Step 6: Final answer
    x = 2,477,054,360,426.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.