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Finding the Third Proportional to 255,899,140,932 and 562,977,214,998

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Solution

The third proportional to 255,899,140,932 and 562,977,214,998 is: 1,238,547,903,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,899,140,932 : 562,977,214,998 = 562,977,214,998 : x
  2. Step 2: Convert to fraction form
    255,899,140,932/562,977,214,998 = 562,977,214,998/x
  3. Step 3: Cross multiply
    255,899,140,932x = 562,977,214,998 × 562,977,214,998
  4. Step 4: Simplify right side
    255,899,140,932x = 316,943,344,606,904,286,445,568
  5. Step 5: Solve for x
    x = 316,943,344,606,904,286,445,568/255,899,140,932
  6. Step 6: Final answer
    x = 1,238,547,903,883.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.