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Finding the Third Proportional to 29,851,436,316 and 65,326,254,648

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Solution

The third proportional to 29,851,436,316 and 65,326,254,648 is: 142,958,600,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,851,436,316 : 65,326,254,648 = 65,326,254,648 : x
  2. Step 2: Convert to fraction form
    29,851,436,316/65,326,254,648 = 65,326,254,648/x
  3. Step 3: Cross multiply
    29,851,436,316x = 65,326,254,648 × 65,326,254,648
  4. Step 4: Simplify right side
    29,851,436,316x = 4,267,519,546,335,341,576,192
  5. Step 5: Solve for x
    x = 4,267,519,546,335,341,576,192/29,851,436,316
  6. Step 6: Final answer
    x = 142,958,600,087.46

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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.