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Finding the Third Proportional to 616,591,224 and 1,455,044,928

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Solution

The third proportional to 616,591,224 and 1,455,044,928 is: 3,433,645,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,591,224 : 1,455,044,928 = 1,455,044,928 : x
  2. Step 2: Convert to fraction form
    616,591,224/1,455,044,928 = 1,455,044,928/x
  3. Step 3: Cross multiply
    616,591,224x = 1,455,044,928 × 1,455,044,928
  4. Step 4: Simplify right side
    616,591,224x = 2,117,155,742,498,525,184
  5. Step 5: Solve for x
    x = 2,117,155,742,498,525,184/616,591,224
  6. Step 6: Final answer
    x = 3,433,645,598.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.