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Finding the Third Proportional to 639,655,947 and 967,357,120.50

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Solution

The third proportional to 639,655,947 and 967,357,120.50 is: 1,462,942,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,655,947 : 967,357,120.50 = 967,357,120.50 : x
  2. Step 2: Convert to fraction form
    639,655,947/967,357,120.50 = 967,357,120.50/x
  3. Step 3: Cross multiply
    639,655,947x = 967,357,120.50 × 967,357,120.50
  4. Step 4: Simplify right side
    639,655,947x = 935,779,798,582,051,584
  5. Step 5: Solve for x
    x = 935,779,798,582,051,584/639,655,947
  6. Step 6: Final answer
    x = 1,462,942,387.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.