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Finding the Third Proportional to 262,385,266.50 and 607,437,970.50

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Solution

The third proportional to 262,385,266.50 and 607,437,970.50 is: 1,406,256,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,385,266.50 : 607,437,970.50 = 607,437,970.50 : x
  2. Step 2: Convert to fraction form
    262,385,266.50/607,437,970.50 = 607,437,970.50/x
  3. Step 3: Cross multiply
    262,385,266.50x = 607,437,970.50 × 607,437,970.50
  4. Step 4: Simplify right side
    262,385,266.50x = 368,980,888,005,158,848
  5. Step 5: Solve for x
    x = 368,980,888,005,158,848/262,385,266.50
  6. Step 6: Final answer
    x = 1,406,256,124.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.