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Finding the Third Proportional to 30,422,685,111 and 65,032,151,358

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Solution

The third proportional to 30,422,685,111 and 65,032,151,358 is: 139,014,051,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,422,685,111 : 65,032,151,358 = 65,032,151,358 : x
  2. Step 2: Convert to fraction form
    30,422,685,111/65,032,151,358 = 65,032,151,358/x
  3. Step 3: Cross multiply
    30,422,685,111x = 65,032,151,358 × 65,032,151,358
  4. Step 4: Simplify right side
    30,422,685,111x = 4,229,180,710,249,821,110,272
  5. Step 5: Solve for x
    x = 4,229,180,710,249,821,110,272/30,422,685,111
  6. Step 6: Final answer
    x = 139,014,051,350.80

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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.