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Finding the Third Proportional to 808,364,974,952 and 1,739,333,425,280

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Solution

The third proportional to 808,364,974,952 and 1,739,333,425,280 is: 3,742,468,882,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,364,974,952 : 1,739,333,425,280 = 1,739,333,425,280 : x
  2. Step 2: Convert to fraction form
    808,364,974,952/1,739,333,425,280 = 1,739,333,425,280/x
  3. Step 3: Cross multiply
    808,364,974,952x = 1,739,333,425,280 × 1,739,333,425,280
  4. Step 4: Simplify right side
    808,364,974,952x = 3,025,280,764,296,257,341,489,152
  5. Step 5: Solve for x
    x = 3,025,280,764,296,257,341,489,152/808,364,974,952
  6. Step 6: Final answer
    x = 3,742,468,882,296.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.