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Finding the Third Proportional to 245,411,668.69 and 524,835,541.13

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Solution

The third proportional to 245,411,668.69 and 524,835,541.13 is: 1,122,409,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,411,668.69 : 524,835,541.13 = 524,835,541.13 : x
  2. Step 2: Convert to fraction form
    245,411,668.69/524,835,541.13 = 524,835,541.13/x
  3. Step 3: Cross multiply
    245,411,668.69x = 524,835,541.13 × 524,835,541.13
  4. Step 4: Simplify right side
    245,411,668.69x = 275,452,345,227,971,552
  5. Step 5: Solve for x
    x = 275,452,345,227,971,552/245,411,668.69
  6. Step 6: Final answer
    x = 1,122,409,324.30

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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.