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Finding the Third Proportional to 817,633,505,688 and 1,779,242,139,696

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Solution

The third proportional to 817,633,505,688 and 1,779,242,139,696 is: 3,871,786,772,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,633,505,688 : 1,779,242,139,696 = 1,779,242,139,696 : x
  2. Step 2: Convert to fraction form
    817,633,505,688/1,779,242,139,696 = 1,779,242,139,696/x
  3. Step 3: Cross multiply
    817,633,505,688x = 1,779,242,139,696 × 1,779,242,139,696
  4. Step 4: Simplify right side
    817,633,505,688x = 3,165,702,591,670,000,224,829,440
  5. Step 5: Solve for x
    x = 3,165,702,591,670,000,224,829,440/817,633,505,688
  6. Step 6: Final answer
    x = 3,871,786,772,003.93

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