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Finding the Third Proportional to 9,069,249,759,150 and 19,987,101,500,514

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Solution

The third proportional to 9,069,249,759,150 and 19,987,101,500,514 is: 44,048,210,932,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069,249,759,150 : 19,987,101,500,514 = 19,987,101,500,514 : x
  2. Step 2: Convert to fraction form
    9,069,249,759,150/19,987,101,500,514 = 19,987,101,500,514/x
  3. Step 3: Cross multiply
    9,069,249,759,150x = 19,987,101,500,514 × 19,987,101,500,514
  4. Step 4: Simplify right side
    9,069,249,759,150x = 399,484,226,391,848,967,815,036,928
  5. Step 5: Solve for x
    x = 399,484,226,391,848,967,815,036,928/9,069,249,759,150
  6. Step 6: Final answer
    x = 44,048,210,932,641.68

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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.