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Finding the Third Proportional to 9,069,249,759,291 and 19,987,101,500,790

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Solution

The third proportional to 9,069,249,759,291 and 19,987,101,500,790 is: 44,048,210,933,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069,249,759,291 : 19,987,101,500,790 = 19,987,101,500,790 : x
  2. Step 2: Convert to fraction form
    9,069,249,759,291/19,987,101,500,790 = 19,987,101,500,790/x
  3. Step 3: Cross multiply
    9,069,249,759,291x = 19,987,101,500,790 × 19,987,101,500,790
  4. Step 4: Simplify right side
    9,069,249,759,291x = 399,484,226,402,881,879,805,001,728
  5. Step 5: Solve for x
    x = 399,484,226,402,881,879,805,001,728/9,069,249,759,291
  6. Step 6: Final answer
    x = 44,048,210,933,173.38

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