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Finding the Third Proportional to 52,369,966,610 and 114,879,028,516

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Solution

The third proportional to 52,369,966,610 and 114,879,028,516 is: 251,999,228,700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,369,966,610 : 114,879,028,516 = 114,879,028,516 : x
  2. Step 2: Convert to fraction form
    52,369,966,610/114,879,028,516 = 114,879,028,516/x
  3. Step 3: Cross multiply
    52,369,966,610x = 114,879,028,516 × 114,879,028,516
  4. Step 4: Simplify right side
    52,369,966,610x = 13,197,191,192,779,941,740,544
  5. Step 5: Solve for x
    x = 13,197,191,192,779,941,740,544/52,369,966,610
  6. Step 6: Final answer
    x = 251,999,228,700.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.