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Finding the Third Proportional to 283,414,054,308.75 and 624,596,920,465.50

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Solution

The third proportional to 283,414,054,308.75 and 624,596,920,465.50 is: 1,376,506,588,589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,414,054,308.75 : 624,596,920,465.50 = 624,596,920,465.50 : x
  2. Step 2: Convert to fraction form
    283,414,054,308.75/624,596,920,465.50 = 624,596,920,465.50/x
  3. Step 3: Cross multiply
    283,414,054,308.75x = 624,596,920,465.50 × 624,596,920,465.50
  4. Step 4: Simplify right side
    283,414,054,308.75x = 390,121,313,054,986,105,520,128
  5. Step 5: Solve for x
    x = 390,121,313,054,986,105,520,128/283,414,054,308.75
  6. Step 6: Final answer
    x = 1,376,506,588,589.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.