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Finding the Third Proportional to 118,709,488,116 and 256,014,634,824

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Solution

The third proportional to 118,709,488,116 and 256,014,634,824 is: 552,133,568,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,709,488,116 : 256,014,634,824 = 256,014,634,824 : x
  2. Step 2: Convert to fraction form
    118,709,488,116/256,014,634,824 = 256,014,634,824/x
  3. Step 3: Cross multiply
    118,709,488,116x = 256,014,634,824 × 256,014,634,824
  4. Step 4: Simplify right side
    118,709,488,116x = 65,543,493,244,066,071,576,576
  5. Step 5: Solve for x
    x = 65,543,493,244,066,071,576,576/118,709,488,116
  6. Step 6: Final answer
    x = 552,133,568,127.42

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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.