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Finding the Third Proportional to 909,238,709.25 and 1,963,974,154.50

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Solution

The third proportional to 909,238,709.25 and 1,963,974,154.50 is: 4,242,224,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,238,709.25 : 1,963,974,154.50 = 1,963,974,154.50 : x
  2. Step 2: Convert to fraction form
    909,238,709.25/1,963,974,154.50 = 1,963,974,154.50/x
  3. Step 3: Cross multiply
    909,238,709.25x = 1,963,974,154.50 × 1,963,974,154.50
  4. Step 4: Simplify right side
    909,238,709.25x = 3,857,194,479,543,989,760
  5. Step 5: Solve for x
    x = 3,857,194,479,543,989,760/909,238,709.25
  6. Step 6: Final answer
    x = 4,242,224,225.94

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Why These Related Problems?

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