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Finding the Third Proportional to 668,793,930 and 1,033,011,424

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Solution

The third proportional to 668,793,930 and 1,033,011,424 is: 1,595,577,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,793,930 : 1,033,011,424 = 1,033,011,424 : x
  2. Step 2: Convert to fraction form
    668,793,930/1,033,011,424 = 1,033,011,424/x
  3. Step 3: Cross multiply
    668,793,930x = 1,033,011,424 × 1,033,011,424
  4. Step 4: Simplify right side
    668,793,930x = 1,067,112,602,114,507,776
  5. Step 5: Solve for x
    x = 1,067,112,602,114,507,776/668,793,930
  6. Step 6: Final answer
    x = 1,595,577,582.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.