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Finding the Third Proportional to 1,897,427,356,254 and 2,890,599,329,142

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Solution

The third proportional to 1,897,427,356,254 and 2,890,599,329,142 is: 4,403,628,130,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897,427,356,254 : 2,890,599,329,142 = 2,890,599,329,142 : x
  2. Step 2: Convert to fraction form
    1,897,427,356,254/2,890,599,329,142 = 2,890,599,329,142/x
  3. Step 3: Cross multiply
    1,897,427,356,254x = 2,890,599,329,142 × 2,890,599,329,142
  4. Step 4: Simplify right side
    1,897,427,356,254x = 8,355,564,481,636,180,737,130,496
  5. Step 5: Solve for x
    x = 8,355,564,481,636,180,737,130,496/1,897,427,356,254
  6. Step 6: Final answer
    x = 4,403,628,130,529.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.