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Finding the Third Proportional to 9,592,963,868 and 21,391,660,984

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Solution

The third proportional to 9,592,963,868 and 21,391,660,984 is: 47,701,958,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592,963,868 : 21,391,660,984 = 21,391,660,984 : x
  2. Step 2: Convert to fraction form
    9,592,963,868/21,391,660,984 = 21,391,660,984/x
  3. Step 3: Cross multiply
    9,592,963,868x = 21,391,660,984 × 21,391,660,984
  4. Step 4: Simplify right side
    9,592,963,868x = 457,603,159,654,387,875,840
  5. Step 5: Solve for x
    x = 457,603,159,654,387,875,840/9,592,963,868
  6. Step 6: Final answer
    x = 47,701,958,013.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.