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Finding the Third Proportional to 571,221,739.78 and 1,243,852,153.65

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Solution

The third proportional to 571,221,739.78 and 1,243,852,153.65 is: 2,708,524,680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,221,739.78 : 1,243,852,153.65 = 1,243,852,153.65 : x
  2. Step 2: Convert to fraction form
    571,221,739.78/1,243,852,153.65 = 1,243,852,153.65/x
  3. Step 3: Cross multiply
    571,221,739.78x = 1,243,852,153.65 × 1,243,852,153.65
  4. Step 4: Simplify right side
    571,221,739.78x = 1,547,168,180,131,036,416
  5. Step 5: Solve for x
    x = 1,547,168,180,131,036,416/571,221,739.78
  6. Step 6: Final answer
    x = 2,708,524,680.34

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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.