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Finding the Third Proportional to 244,258,514 and 526,779,700

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Solution

The third proportional to 244,258,514 and 526,779,700 is: 1,136,078,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,258,514 : 526,779,700 = 526,779,700 : x
  2. Step 2: Convert to fraction form
    244,258,514/526,779,700 = 526,779,700/x
  3. Step 3: Cross multiply
    244,258,514x = 526,779,700 × 526,779,700
  4. Step 4: Simplify right side
    244,258,514x = 277,496,852,332,089,984
  5. Step 5: Solve for x
    x = 277,496,852,332,089,984/244,258,514
  6. Step 6: Final answer
    x = 1,136,078,525.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.