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Finding the Third Proportional to 122,411,721 and 258,639,855

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Solution

The third proportional to 122,411,721 and 258,639,855 is: 546,471,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,411,721 : 258,639,855 = 258,639,855 : x
  2. Step 2: Convert to fraction form
    122,411,721/258,639,855 = 258,639,855/x
  3. Step 3: Cross multiply
    122,411,721x = 258,639,855 × 258,639,855
  4. Step 4: Simplify right side
    122,411,721x = 66,894,574,594,421,024
  5. Step 5: Solve for x
    x = 66,894,574,594,421,024/122,411,721
  6. Step 6: Final answer
    x = 546,471,972.19

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.