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Finding the Third Proportional to 4,590,810,486 and 9,819,875,052

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Solution

The third proportional to 4,590,810,486 and 9,819,875,052 is: 21,004,993,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590,810,486 : 9,819,875,052 = 9,819,875,052 : x
  2. Step 2: Convert to fraction form
    4,590,810,486/9,819,875,052 = 9,819,875,052/x
  3. Step 3: Cross multiply
    4,590,810,486x = 9,819,875,052 × 9,819,875,052
  4. Step 4: Simplify right side
    4,590,810,486x = 96,429,946,036,892,008,448
  5. Step 5: Solve for x
    x = 96,429,946,036,892,008,448/4,590,810,486
  6. Step 6: Final answer
    x = 21,004,993,852.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.