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Finding the Third Proportional to 1,627,293,109.50 and 3,531,998,421

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Solution

The third proportional to 1,627,293,109.50 and 3,531,998,421 is: 7,666,112,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627,293,109.50 : 3,531,998,421 = 3,531,998,421 : x
  2. Step 2: Convert to fraction form
    1,627,293,109.50/3,531,998,421 = 3,531,998,421/x
  3. Step 3: Cross multiply
    1,627,293,109.50x = 3,531,998,421 × 3,531,998,421
  4. Step 4: Simplify right side
    1,627,293,109.50x = 12,475,012,845,946,492,928
  5. Step 5: Solve for x
    x = 12,475,012,845,946,492,928/1,627,293,109.50
  6. Step 6: Final answer
    x = 7,666,112,990.41

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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.