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Finding the Third Proportional to 276,359,999,770.50 and 424,596,595,803.76

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Solution

The third proportional to 276,359,999,770.50 and 424,596,595,803.76 is: 652,345,742,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,359,999,770.50 : 424,596,595,803.76 = 424,596,595,803.76 : x
  2. Step 2: Convert to fraction form
    276,359,999,770.50/424,596,595,803.76 = 424,596,595,803.76/x
  3. Step 3: Cross multiply
    276,359,999,770.50x = 424,596,595,803.76 × 424,596,595,803.76
  4. Step 4: Simplify right side
    276,359,999,770.50x = 180,282,269,168,141,539,999,744
  5. Step 5: Solve for x
    x = 180,282,269,168,141,539,999,744/276,359,999,770.50
  6. Step 6: Final answer
    x = 652,345,742,212.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.