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Finding the Third Proportional to 24,566,686,968 and 53,047,968,342

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Solution

The third proportional to 24,566,686,968 and 53,047,968,342 is: 114,548,899,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,566,686,968 : 53,047,968,342 = 53,047,968,342 : x
  2. Step 2: Convert to fraction form
    24,566,686,968/53,047,968,342 = 53,047,968,342/x
  3. Step 3: Cross multiply
    24,566,686,968x = 53,047,968,342 × 53,047,968,342
  4. Step 4: Simplify right side
    24,566,686,968x = 2,814,086,945,213,834,067,968
  5. Step 5: Solve for x
    x = 2,814,086,945,213,834,067,968/24,566,686,968
  6. Step 6: Final answer
    x = 114,548,899,038.74

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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.