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Finding the Third Proportional to 1,032,095,776,736 and 1,615,511,779,728

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Solution

The third proportional to 1,032,095,776,736 and 1,615,511,779,728 is: 2,528,717,168,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,095,776,736 : 1,615,511,779,728 = 1,615,511,779,728 : x
  2. Step 2: Convert to fraction form
    1,032,095,776,736/1,615,511,779,728 = 1,615,511,779,728/x
  3. Step 3: Cross multiply
    1,032,095,776,736x = 1,615,511,779,728 × 1,615,511,779,728
  4. Step 4: Simplify right side
    1,032,095,776,736x = 2,609,878,310,439,929,776,177,152
  5. Step 5: Solve for x
    x = 2,609,878,310,439,929,776,177,152/1,032,095,776,736
  6. Step 6: Final answer
    x = 2,528,717,168,762.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.