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Finding the Third Proportional to 1,693,666,266 and 3,668,767,446

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Solution

The third proportional to 1,693,666,266 and 3,668,767,446 is: 7,947,170,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,666,266 : 3,668,767,446 = 3,668,767,446 : x
  2. Step 2: Convert to fraction form
    1,693,666,266/3,668,767,446 = 3,668,767,446/x
  3. Step 3: Cross multiply
    1,693,666,266x = 3,668,767,446 × 3,668,767,446
  4. Step 4: Simplify right side
    1,693,666,266x = 13,459,854,572,829,362,176
  5. Step 5: Solve for x
    x = 13,459,854,572,829,362,176/1,693,666,266
  6. Step 6: Final answer
    x = 7,947,170,492.22

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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.