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Finding the Third Proportional to 262,385,076 and 607,437,532

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Solution

The third proportional to 262,385,076 and 607,437,532 is: 1,406,255,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,385,076 : 607,437,532 = 607,437,532 : x
  2. Step 2: Convert to fraction form
    262,385,076/607,437,532 = 607,437,532/x
  3. Step 3: Cross multiply
    262,385,076x = 607,437,532 × 607,437,532
  4. Step 4: Simplify right side
    262,385,076x = 368,980,355,282,251,008
  5. Step 5: Solve for x
    x = 368,980,355,282,251,008/262,385,076
  6. Step 6: Final answer
    x = 1,406,255,115.22

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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.