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Finding the Third Proportional to 2,535,898,292 and 5,521,993,430

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Solution

The third proportional to 2,535,898,292 and 5,521,993,430 is: 12,024,303,788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535,898,292 : 5,521,993,430 = 5,521,993,430 : x
  2. Step 2: Convert to fraction form
    2,535,898,292/5,521,993,430 = 5,521,993,430/x
  3. Step 3: Cross multiply
    2,535,898,292x = 5,521,993,430 × 5,521,993,430
  4. Step 4: Simplify right side
    2,535,898,292x = 30,492,411,440,963,166,208
  5. Step 5: Solve for x
    x = 30,492,411,440,963,166,208/2,535,898,292
  6. Step 6: Final answer
    x = 12,024,303,788.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.