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Finding the Third Proportional to 1,693,806,850 and 3,669,011,709

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Solution

The third proportional to 1,693,806,850 and 3,669,011,709 is: 7,947,569,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,806,850 : 3,669,011,709 = 3,669,011,709 : x
  2. Step 2: Convert to fraction form
    1,693,806,850/3,669,011,709 = 3,669,011,709/x
  3. Step 3: Cross multiply
    1,693,806,850x = 3,669,011,709 × 3,669,011,709
  4. Step 4: Simplify right side
    1,693,806,850x = 13,461,646,920,779,100,160
  5. Step 5: Solve for x
    x = 13,461,646,920,779,100,160/1,693,806,850
  6. Step 6: Final answer
    x = 7,947,569,063.60

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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.