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Finding the Third Proportional to 290,234,052 and 631,484,496

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Solution

The third proportional to 290,234,052 and 631,484,496 is: 1,373,969,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,234,052 : 631,484,496 = 631,484,496 : x
  2. Step 2: Convert to fraction form
    290,234,052/631,484,496 = 631,484,496/x
  3. Step 3: Cross multiply
    290,234,052x = 631,484,496 × 631,484,496
  4. Step 4: Simplify right side
    290,234,052x = 398,772,668,688,374,016
  5. Step 5: Solve for x
    x = 398,772,668,688,374,016/290,234,052
  6. Step 6: Final answer
    x = 1,373,969,270.46

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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.