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Finding the Third Proportional to 585,097,344 and 1,218,621,672

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Solution

The third proportional to 585,097,344 and 1,218,621,672 is: 2,538,105,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,097,344 : 1,218,621,672 = 1,218,621,672 : x
  2. Step 2: Convert to fraction form
    585,097,344/1,218,621,672 = 1,218,621,672/x
  3. Step 3: Cross multiply
    585,097,344x = 1,218,621,672 × 1,218,621,672
  4. Step 4: Simplify right side
    585,097,344x = 1,485,038,779,468,075,520
  5. Step 5: Solve for x
    x = 1,485,038,779,468,075,520/585,097,344
  6. Step 6: Final answer
    x = 2,538,105,487.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.