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Finding the Third Proportional to 1,693,666,258 and 3,668,767,429

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Solution

The third proportional to 1,693,666,258 and 3,668,767,429 is: 7,947,170,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,666,258 : 3,668,767,429 = 3,668,767,429 : x
  2. Step 2: Convert to fraction form
    1,693,666,258/3,668,767,429 = 3,668,767,429/x
  3. Step 3: Cross multiply
    1,693,666,258x = 3,668,767,429 × 3,668,767,429
  4. Step 4: Simplify right side
    1,693,666,258x = 13,459,854,448,091,269,120
  5. Step 5: Solve for x
    x = 13,459,854,448,091,269,120/1,693,666,258
  6. Step 6: Final answer
    x = 7,947,170,456.11

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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.