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Finding the Third Proportional to 1,693,806,946 and 3,669,011,897

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Solution

The third proportional to 1,693,806,946 and 3,669,011,897 is: 7,947,569,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,806,946 : 3,669,011,897 = 3,669,011,897 : x
  2. Step 2: Convert to fraction form
    1,693,806,946/3,669,011,897 = 3,669,011,897/x
  3. Step 3: Cross multiply
    1,693,806,946x = 3,669,011,897 × 3,669,011,897
  4. Step 4: Simplify right side
    1,693,806,946x = 13,461,648,300,327,538,688
  5. Step 5: Solve for x
    x = 13,461,648,300,327,538,688/1,693,806,946
  6. Step 6: Final answer
    x = 7,947,569,427.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.