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Finding the Third Proportional to 243,604,842 and 574,882,698.75

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Solution

The third proportional to 243,604,842 and 574,882,698.75 is: 1,356,664,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,604,842 : 574,882,698.75 = 574,882,698.75 : x
  2. Step 2: Convert to fraction form
    243,604,842/574,882,698.75 = 574,882,698.75/x
  3. Step 3: Cross multiply
    243,604,842x = 574,882,698.75 × 574,882,698.75
  4. Step 4: Simplify right side
    243,604,842x = 330,490,117,322,083,264
  5. Step 5: Solve for x
    x = 330,490,117,322,083,264/243,604,842
  6. Step 6: Final answer
    x = 1,356,664,812.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.