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Finding the Third Proportional to 29,851,436,313 and 65,326,254,642

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Solution

The third proportional to 29,851,436,313 and 65,326,254,642 is: 142,958,600,075.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,851,436,313 : 65,326,254,642 = 65,326,254,642 : x
  2. Step 2: Convert to fraction form
    29,851,436,313/65,326,254,642 = 65,326,254,642/x
  3. Step 3: Cross multiply
    29,851,436,313x = 65,326,254,642 × 65,326,254,642
  4. Step 4: Simplify right side
    29,851,436,313x = 4,267,519,545,551,426,682,880
  5. Step 5: Solve for x
    x = 4,267,519,545,551,426,682,880/29,851,436,313
  6. Step 6: Final answer
    x = 142,958,600,075.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.