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Finding the Third Proportional to 17,169,830,506 and 25,917,983,076

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Solution

The third proportional to 17,169,830,506 and 25,917,983,076 is: 39,123,382,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,169,830,506 : 25,917,983,076 = 25,917,983,076 : x
  2. Step 2: Convert to fraction form
    17,169,830,506/25,917,983,076 = 25,917,983,076/x
  3. Step 3: Cross multiply
    17,169,830,506x = 25,917,983,076 × 25,917,983,076
  4. Step 4: Simplify right side
    17,169,830,506x = 671,741,846,727,822,409,728
  5. Step 5: Solve for x
    x = 671,741,846,727,822,409,728/17,169,830,506
  6. Step 6: Final answer
    x = 39,123,382,522.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.