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Finding the Third Proportional to 1,062,626,316 and 1,666,796,101

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Solution

The third proportional to 1,062,626,316 and 1,666,796,101 is: 2,614,474,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062,626,316 : 1,666,796,101 = 1,666,796,101 : x
  2. Step 2: Convert to fraction form
    1,062,626,316/1,666,796,101 = 1,666,796,101/x
  3. Step 3: Cross multiply
    1,062,626,316x = 1,666,796,101 × 1,666,796,101
  4. Step 4: Simplify right side
    1,062,626,316x = 2,778,209,242,308,802,048
  5. Step 5: Solve for x
    x = 2,778,209,242,308,802,048/1,062,626,316
  6. Step 6: Final answer
    x = 2,614,474,345.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.