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Finding the Third Proportional to 2,169,718,821 and 4,709,320,575

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Solution

The third proportional to 2,169,718,821 and 4,709,320,575 is: 10,221,462,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,718,821 : 4,709,320,575 = 4,709,320,575 : x
  2. Step 2: Convert to fraction form
    2,169,718,821/4,709,320,575 = 4,709,320,575/x
  3. Step 3: Cross multiply
    2,169,718,821x = 4,709,320,575 × 4,709,320,575
  4. Step 4: Simplify right side
    2,169,718,821x = 22,177,700,278,118,330,368
  5. Step 5: Solve for x
    x = 22,177,700,278,118,330,368/2,169,718,821
  6. Step 6: Final answer
    x = 10,221,462,828.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.