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Finding the Third Proportional to 571,221,695.73 and 1,243,852,076.76

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Solution

The third proportional to 571,221,695.73 and 1,243,852,076.76 is: 2,708,524,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,221,695.73 : 1,243,852,076.76 = 1,243,852,076.76 : x
  2. Step 2: Convert to fraction form
    571,221,695.73/1,243,852,076.76 = 1,243,852,076.76/x
  3. Step 3: Cross multiply
    571,221,695.73x = 1,243,852,076.76 × 1,243,852,076.76
  4. Step 4: Simplify right side
    571,221,695.73x = 1,547,167,988,859,418,880
  5. Step 5: Solve for x
    x = 1,547,167,988,859,418,880/571,221,695.73
  6. Step 6: Final answer
    x = 2,708,524,554.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.