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Finding the Third Proportional to 13,735,545,166 and 29,752,968,224

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Solution

The third proportional to 13,735,545,166 and 29,752,968,224 is: 64,448,779,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735,545,166 : 29,752,968,224 = 29,752,968,224 : x
  2. Step 2: Convert to fraction form
    13,735,545,166/29,752,968,224 = 29,752,968,224/x
  3. Step 3: Cross multiply
    13,735,545,166x = 29,752,968,224 × 29,752,968,224
  4. Step 4: Simplify right side
    13,735,545,166x = 885,239,118,138,353,778,688
  5. Step 5: Solve for x
    x = 885,239,118,138,353,778,688/13,735,545,166
  6. Step 6: Final answer
    x = 64,448,779,239.55

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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.