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Finding the Third Proportional to 646,855,088 and 1,407,045,876

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Solution

The third proportional to 646,855,088 and 1,407,045,876 is: 3,060,620,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,855,088 : 1,407,045,876 = 1,407,045,876 : x
  2. Step 2: Convert to fraction form
    646,855,088/1,407,045,876 = 1,407,045,876/x
  3. Step 3: Cross multiply
    646,855,088x = 1,407,045,876 × 1,407,045,876
  4. Step 4: Simplify right side
    646,855,088x = 1,979,778,097,168,607,488
  5. Step 5: Solve for x
    x = 1,979,778,097,168,607,488/646,855,088
  6. Step 6: Final answer
    x = 3,060,620,738.55

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Why These Related Problems?

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