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Finding the Third Proportional to 701,153,670 and 1,499,567,526

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Solution

The third proportional to 701,153,670 and 1,499,567,526 is: 3,207,146,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,153,670 : 1,499,567,526 = 1,499,567,526 : x
  2. Step 2: Convert to fraction form
    701,153,670/1,499,567,526 = 1,499,567,526/x
  3. Step 3: Cross multiply
    701,153,670x = 1,499,567,526 × 1,499,567,526
  4. Step 4: Simplify right side
    701,153,670x = 2,248,702,765,033,760,768
  5. Step 5: Solve for x
    x = 2,248,702,765,033,760,768/701,153,670
  6. Step 6: Final answer
    x = 3,207,146,822.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.