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Finding the Third Proportional to 291,229,490 and 623,347,760

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Solution

The third proportional to 291,229,490 and 623,347,760 is: 1,334,213,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,229,490 : 623,347,760 = 623,347,760 : x
  2. Step 2: Convert to fraction form
    291,229,490/623,347,760 = 623,347,760/x
  3. Step 3: Cross multiply
    291,229,490x = 623,347,760 × 623,347,760
  4. Step 4: Simplify right side
    291,229,490x = 388,562,429,897,017,600
  5. Step 5: Solve for x
    x = 388,562,429,897,017,600/291,229,490
  6. Step 6: Final answer
    x = 1,334,213,887.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.