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Finding the Third Proportional to 29,912,556,613 and 64,788,949,313

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Solution

The third proportional to 29,912,556,613 and 64,788,949,313 is: 140,329,294,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,912,556,613 : 64,788,949,313 = 64,788,949,313 : x
  2. Step 2: Convert to fraction form
    29,912,556,613/64,788,949,313 = 64,788,949,313/x
  3. Step 3: Cross multiply
    29,912,556,613x = 64,788,949,313 × 64,788,949,313
  4. Step 4: Simplify right side
    29,912,556,613x = 4,197,607,953,082,483,212,288
  5. Step 5: Solve for x
    x = 4,197,607,953,082,483,212,288/29,912,556,613
  6. Step 6: Final answer
    x = 140,329,294,061.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.