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Finding the Third Proportional to 122,442,461 and 266,407,453

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Solution

The third proportional to 122,442,461 and 266,407,453 is: 579,643,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442,461 : 266,407,453 = 266,407,453 : x
  2. Step 2: Convert to fraction form
    122,442,461/266,407,453 = 266,407,453/x
  3. Step 3: Cross multiply
    122,442,461x = 266,407,453 × 266,407,453
  4. Step 4: Simplify right side
    122,442,461x = 70,972,931,013,947,208
  5. Step 5: Solve for x
    x = 70,972,931,013,947,208/122,442,461
  6. Step 6: Final answer
    x = 579,643,127.35

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Why These Related Problems?

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