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Finding the Third Proportional to 292,507,671,244 and 593,239,992,479

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Solution

The third proportional to 292,507,671,244 and 593,239,992,479 is: 1,203,160,543,379.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,507,671,244 : 593,239,992,479 = 593,239,992,479 : x
  2. Step 2: Convert to fraction form
    292,507,671,244/593,239,992,479 = 593,239,992,479/x
  3. Step 3: Cross multiply
    292,507,671,244x = 593,239,992,479 × 593,239,992,479
  4. Step 4: Simplify right side
    292,507,671,244x = 351,933,688,676,483,952,803,840
  5. Step 5: Solve for x
    x = 351,933,688,676,483,952,803,840/292,507,671,244
  6. Step 6: Final answer
    x = 1,203,160,543,379.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.