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Finding the Third Proportional to 13,434,712,021 and 29,153,054,449

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Solution

The third proportional to 13,434,712,021 and 29,153,054,449 is: 63,261,540,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434,712,021 : 29,153,054,449 = 29,153,054,449 : x
  2. Step 2: Convert to fraction form
    13,434,712,021/29,153,054,449 = 29,153,054,449/x
  3. Step 3: Cross multiply
    13,434,712,021x = 29,153,054,449 × 29,153,054,449
  4. Step 4: Simplify right side
    13,434,712,021x = 849,900,583,706,358,710,272
  5. Step 5: Solve for x
    x = 849,900,583,706,358,710,272/13,434,712,021
  6. Step 6: Final answer
    x = 63,261,540,878.43

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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.