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Finding the Third Proportional to 42,590,575,968 and 92,248,773,090

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Solution

The third proportional to 42,590,575,968 and 92,248,773,090 is: 199,805,612,936.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,590,575,968 : 92,248,773,090 = 92,248,773,090 : x
  2. Step 2: Convert to fraction form
    42,590,575,968/92,248,773,090 = 92,248,773,090/x
  3. Step 3: Cross multiply
    42,590,575,968x = 92,248,773,090 × 92,248,773,090
  4. Step 4: Simplify right side
    42,590,575,968x = 8,509,836,136,610,308,030,464
  5. Step 5: Solve for x
    x = 8,509,836,136,610,308,030,464/42,590,575,968
  6. Step 6: Final answer
    x = 199,805,612,936.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.