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Finding the Third Proportional to 737,234,138 and 1,583,875,840

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Solution

The third proportional to 737,234,138 and 1,583,875,840 is: 3,402,803,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,234,138 : 1,583,875,840 = 1,583,875,840 : x
  2. Step 2: Convert to fraction form
    737,234,138/1,583,875,840 = 1,583,875,840/x
  3. Step 3: Cross multiply
    737,234,138x = 1,583,875,840 × 1,583,875,840
  4. Step 4: Simplify right side
    737,234,138x = 2,508,662,676,535,705,600
  5. Step 5: Solve for x
    x = 2,508,662,676,535,705,600/737,234,138
  6. Step 6: Final answer
    x = 3,402,803,189.96

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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.