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Finding the Third Proportional to 770,071,927.50 and 1,681,257,802.50

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Solution

The third proportional to 770,071,927.50 and 1,681,257,802.50 is: 3,670,602,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,071,927.50 : 1,681,257,802.50 = 1,681,257,802.50 : x
  2. Step 2: Convert to fraction form
    770,071,927.50/1,681,257,802.50 = 1,681,257,802.50/x
  3. Step 3: Cross multiply
    770,071,927.50x = 1,681,257,802.50 × 1,681,257,802.50
  4. Step 4: Simplify right side
    770,071,927.50x = 2,826,627,798,467,128,832
  5. Step 5: Solve for x
    x = 2,826,627,798,467,128,832/770,071,927.50
  6. Step 6: Final answer
    x = 3,670,602,313.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.