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Finding the Third Proportional to 255,547,713 and 555,870,024

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Solution

The third proportional to 255,547,713 and 555,870,024 is: 1,209,134,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,547,713 : 555,870,024 = 555,870,024 : x
  2. Step 2: Convert to fraction form
    255,547,713/555,870,024 = 555,870,024/x
  3. Step 3: Cross multiply
    255,547,713x = 555,870,024 × 555,870,024
  4. Step 4: Simplify right side
    255,547,713x = 308,991,483,581,760,576
  5. Step 5: Solve for x
    x = 308,991,483,581,760,576/255,547,713
  6. Step 6: Final answer
    x = 1,209,134,215.89

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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.