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Finding the Third Proportional to 262,385,077 and 607,437,537

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Solution

The third proportional to 262,385,077 and 607,437,537 is: 1,406,255,133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,385,077 : 607,437,537 = 607,437,537 : x
  2. Step 2: Convert to fraction form
    262,385,077/607,437,537 = 607,437,537/x
  3. Step 3: Cross multiply
    262,385,077x = 607,437,537 × 607,437,537
  4. Step 4: Simplify right side
    262,385,077x = 368,980,361,356,626,368
  5. Step 5: Solve for x
    x = 368,980,361,356,626,368/262,385,077
  6. Step 6: Final answer
    x = 1,406,255,133.01

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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.