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Finding the Third Proportional to 1,480,295,034 and 3,291,472,470

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Solution

The third proportional to 1,480,295,034 and 3,291,472,470 is: 7,318,670,110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,295,034 : 3,291,472,470 = 3,291,472,470 : x
  2. Step 2: Convert to fraction form
    1,480,295,034/3,291,472,470 = 3,291,472,470/x
  3. Step 3: Cross multiply
    1,480,295,034x = 3,291,472,470 × 3,291,472,470
  4. Step 4: Simplify right side
    1,480,295,034x = 10,833,791,020,767,901,696
  5. Step 5: Solve for x
    x = 10,833,791,020,767,901,696/1,480,295,034
  6. Step 6: Final answer
    x = 7,318,670,110.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.