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Finding the Third Proportional to 403,311,258 and 867,913,744.50

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Solution

The third proportional to 403,311,258 and 867,913,744.50 is: 1,867,724,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,311,258 : 867,913,744.50 = 867,913,744.50 : x
  2. Step 2: Convert to fraction form
    403,311,258/867,913,744.50 = 867,913,744.50/x
  3. Step 3: Cross multiply
    403,311,258x = 867,913,744.50 × 867,913,744.50
  4. Step 4: Simplify right side
    403,311,258x = 753,274,267,892,011,264
  5. Step 5: Solve for x
    x = 753,274,267,892,011,264/403,311,258
  6. Step 6: Final answer
    x = 1,867,724,376.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.