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Finding the Third Proportional to 909,966,505.50 and 1,960,100,572.50

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Solution

The third proportional to 909,966,505.50 and 1,960,100,572.50 is: 4,222,127,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,966,505.50 : 1,960,100,572.50 = 1,960,100,572.50 : x
  2. Step 2: Convert to fraction form
    909,966,505.50/1,960,100,572.50 = 1,960,100,572.50/x
  3. Step 3: Cross multiply
    909,966,505.50x = 1,960,100,572.50 × 1,960,100,572.50
  4. Step 4: Simplify right side
    909,966,505.50x = 3,841,994,254,314,827,776
  5. Step 5: Solve for x
    x = 3,841,994,254,314,827,776/909,966,505.50
  6. Step 6: Final answer
    x = 4,222,127,112.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.