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Finding the Third Proportional to 29,851,436,314 and 65,326,254,644

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Solution

The third proportional to 29,851,436,314 and 65,326,254,644 is: 142,958,600,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,851,436,314 : 65,326,254,644 = 65,326,254,644 : x
  2. Step 2: Convert to fraction form
    29,851,436,314/65,326,254,644 = 65,326,254,644/x
  3. Step 3: Cross multiply
    29,851,436,314x = 65,326,254,644 × 65,326,254,644
  4. Step 4: Simplify right side
    29,851,436,314x = 4,267,519,545,812,731,822,080
  5. Step 5: Solve for x
    x = 4,267,519,545,812,731,822,080/29,851,436,314
  6. Step 6: Final answer
    x = 142,958,600,079.53

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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.