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Finding the Third Proportional to 922,168,705 and 1,991,576,295

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Solution

The third proportional to 922,168,705 and 1,991,576,295 is: 4,301,139,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,168,705 : 1,991,576,295 = 1,991,576,295 : x
  2. Step 2: Convert to fraction form
    922,168,705/1,991,576,295 = 1,991,576,295/x
  3. Step 3: Cross multiply
    922,168,705x = 1,991,576,295 × 1,991,576,295
  4. Step 4: Simplify right side
    922,168,705x = 3,966,376,138,805,926,912
  5. Step 5: Solve for x
    x = 3,966,376,138,805,926,912/922,168,705
  6. Step 6: Final answer
    x = 4,301,139,387.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.