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Finding the Third Proportional to 302,375,641,632 and 647,881,039,408

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Solution

The third proportional to 302,375,641,632 and 647,881,039,408 is: 1,388,173,461,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,375,641,632 : 647,881,039,408 = 647,881,039,408 : x
  2. Step 2: Convert to fraction form
    302,375,641,632/647,881,039,408 = 647,881,039,408/x
  3. Step 3: Cross multiply
    302,375,641,632x = 647,881,039,408 × 647,881,039,408
  4. Step 4: Simplify right side
    302,375,641,632x = 419,749,841,224,390,439,600,128
  5. Step 5: Solve for x
    x = 419,749,841,224,390,439,600,128/302,375,641,632
  6. Step 6: Final answer
    x = 1,388,173,461,853.25

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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.