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Finding the Third Proportional to 12,705,095,070 and 19,221,047,100

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Solution

The third proportional to 12,705,095,070 and 19,221,047,100 is: 29,078,778,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705,095,070 : 19,221,047,100 = 19,221,047,100 : x
  2. Step 2: Convert to fraction form
    12,705,095,070/19,221,047,100 = 19,221,047,100/x
  3. Step 3: Cross multiply
    12,705,095,070x = 19,221,047,100 × 19,221,047,100
  4. Step 4: Simplify right side
    12,705,095,070x = 369,448,651,620,418,387,968
  5. Step 5: Solve for x
    x = 369,448,651,620,418,387,968/12,705,095,070
  6. Step 6: Final answer
    x = 29,078,778,992.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.