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Finding the Third Proportional to 122,442,746 and 266,407,984

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Solution

The third proportional to 122,442,746 and 266,407,984 is: 579,644,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442,746 : 266,407,984 = 266,407,984 : x
  2. Step 2: Convert to fraction form
    122,442,746/266,407,984 = 266,407,984/x
  3. Step 3: Cross multiply
    122,442,746x = 266,407,984 × 266,407,984
  4. Step 4: Simplify right side
    122,442,746x = 70,973,213,938,944,256
  5. Step 5: Solve for x
    x = 70,973,213,938,944,256/122,442,746
  6. Step 6: Final answer
    x = 579,644,088.83

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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.