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Finding the Third Proportional to 910,964,768,434 and 1,897,329,537,140

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Solution

The third proportional to 910,964,768,434 and 1,897,329,537,140 is: 3,951,699,887,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,964,768,434 : 1,897,329,537,140 = 1,897,329,537,140 : x
  2. Step 2: Convert to fraction form
    910,964,768,434/1,897,329,537,140 = 1,897,329,537,140/x
  3. Step 3: Cross multiply
    910,964,768,434x = 1,897,329,537,140 × 1,897,329,537,140
  4. Step 4: Simplify right side
    910,964,768,434x = 3,599,859,372,503,886,496,530,432
  5. Step 5: Solve for x
    x = 3,599,859,372,503,886,496,530,432/910,964,768,434
  6. Step 6: Final answer
    x = 3,951,699,887,024.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.