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Finding the Third Proportional to 4,668,478,830 and 10,082,354,502

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Solution

The third proportional to 4,668,478,830 and 10,082,354,502 is: 21,774,517,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668,478,830 : 10,082,354,502 = 10,082,354,502 : x
  2. Step 2: Convert to fraction form
    4,668,478,830/10,082,354,502 = 10,082,354,502/x
  3. Step 3: Cross multiply
    4,668,478,830x = 10,082,354,502 × 10,082,354,502
  4. Step 4: Simplify right side
    4,668,478,830x = 101,653,872,303,999,664,128
  5. Step 5: Solve for x
    x = 101,653,872,303,999,664,128/4,668,478,830
  6. Step 6: Final answer
    x = 21,774,517,140.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.