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Finding the Third Proportional to 1,693,676,046 and 3,526,537,713

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Solution

The third proportional to 1,693,676,046 and 3,526,537,713 is: 7,342,884,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,676,046 : 3,526,537,713 = 3,526,537,713 : x
  2. Step 2: Convert to fraction form
    1,693,676,046/3,526,537,713 = 3,526,537,713/x
  3. Step 3: Cross multiply
    1,693,676,046x = 3,526,537,713 × 3,526,537,713
  4. Step 4: Simplify right side
    1,693,676,046x = 12,436,468,241,211,271,168
  5. Step 5: Solve for x
    x = 12,436,468,241,211,271,168/1,693,676,046
  6. Step 6: Final answer
    x = 7,342,884,886.74

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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.