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Finding the Third Proportional to 8,877,988,286 and 19,318,860,146

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Solution

The third proportional to 8,877,988,286 and 19,318,860,146 is: 42,038,617,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,877,988,286 : 19,318,860,146 = 19,318,860,146 : x
  2. Step 2: Convert to fraction form
    8,877,988,286/19,318,860,146 = 19,318,860,146/x
  3. Step 3: Cross multiply
    8,877,988,286x = 19,318,860,146 × 19,318,860,146
  4. Step 4: Simplify right side
    8,877,988,286x = 373,218,357,340,707,160,064
  5. Step 5: Solve for x
    x = 373,218,357,340,707,160,064/8,877,988,286
  6. Step 6: Final answer
    x = 42,038,617,907.31

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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.