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Finding the Third Proportional to 2,309,618,316 and 5,389,295,646

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Solution

The third proportional to 2,309,618,316 and 5,389,295,646 is: 12,575,457,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,618,316 : 5,389,295,646 = 5,389,295,646 : x
  2. Step 2: Convert to fraction form
    2,309,618,316/5,389,295,646 = 5,389,295,646/x
  3. Step 3: Cross multiply
    2,309,618,316x = 5,389,295,646 × 5,389,295,646
  4. Step 4: Simplify right side
    2,309,618,316x = 29,044,507,559,994,556,416
  5. Step 5: Solve for x
    x = 29,044,507,559,994,556,416/2,309,618,316
  6. Step 6: Final answer
    x = 12,575,457,753.68

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.