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Finding the Third Proportional to 960,989,216 and 2,098,128,156

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Solution

The third proportional to 960,989,216 and 2,098,128,156 is: 4,580,844,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,989,216 : 2,098,128,156 = 2,098,128,156 : x
  2. Step 2: Convert to fraction form
    960,989,216/2,098,128,156 = 2,098,128,156/x
  3. Step 3: Cross multiply
    960,989,216x = 2,098,128,156 × 2,098,128,156
  4. Step 4: Simplify right side
    960,989,216x = 4,402,141,758,999,960,576
  5. Step 5: Solve for x
    x = 4,402,141,758,999,960,576/960,989,216
  6. Step 6: Final answer
    x = 4,580,844,077.86

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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.