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Finding the Third Proportional to 69,860,348,824 and 151,960,953,114

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Solution

The third proportional to 69,860,348,824 and 151,960,953,114 is: 330,547,036,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,860,348,824 : 151,960,953,114 = 151,960,953,114 : x
  2. Step 2: Convert to fraction form
    69,860,348,824/151,960,953,114 = 151,960,953,114/x
  3. Step 3: Cross multiply
    69,860,348,824x = 151,960,953,114 × 151,960,953,114
  4. Step 4: Simplify right side
    69,860,348,824x = 23,092,131,271,315,304,742,912
  5. Step 5: Solve for x
    x = 23,092,131,271,315,304,742,912/69,860,348,824
  6. Step 6: Final answer
    x = 330,547,036,481.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.