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Finding the Third Proportional to 604,751,283,259 and 1,295,762,078,803

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Solution

The third proportional to 604,751,283,259 and 1,295,762,078,803 is: 2,776,346,923,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,751,283,259 : 1,295,762,078,803 = 1,295,762,078,803 : x
  2. Step 2: Convert to fraction form
    604,751,283,259/1,295,762,078,803 = 1,295,762,078,803/x
  3. Step 3: Cross multiply
    604,751,283,259x = 1,295,762,078,803 × 1,295,762,078,803
  4. Step 4: Simplify right side
    604,751,283,259x = 1,678,999,364,863,872,034,930,688
  5. Step 5: Solve for x
    x = 1,678,999,364,863,872,034,930,688/604,751,283,259
  6. Step 6: Final answer
    x = 2,776,346,923,673.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.