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Finding the Third Proportional to 596,603,632 and 1,406,360,656

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Solution

The third proportional to 596,603,632 and 1,406,360,656 is: 3,315,183,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,603,632 : 1,406,360,656 = 1,406,360,656 : x
  2. Step 2: Convert to fraction form
    596,603,632/1,406,360,656 = 1,406,360,656/x
  3. Step 3: Cross multiply
    596,603,632x = 1,406,360,656 × 1,406,360,656
  4. Step 4: Simplify right side
    596,603,632x = 1,977,850,294,744,750,336
  5. Step 5: Solve for x
    x = 1,977,850,294,744,750,336/596,603,632
  6. Step 6: Final answer
    x = 3,315,183,127.72

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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.