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Finding the Third Proportional to 786,882,501 and 1,696,341,014

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Solution

The third proportional to 786,882,501 and 1,696,341,014 is: 3,656,928,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,882,501 : 1,696,341,014 = 1,696,341,014 : x
  2. Step 2: Convert to fraction form
    786,882,501/1,696,341,014 = 1,696,341,014/x
  3. Step 3: Cross multiply
    786,882,501x = 1,696,341,014 × 1,696,341,014
  4. Step 4: Simplify right side
    786,882,501x = 2,877,572,835,778,548,224
  5. Step 5: Solve for x
    x = 2,877,572,835,778,548,224/786,882,501
  6. Step 6: Final answer
    x = 3,656,928,235.31

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