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Finding the Third Proportional to 40,164,426,864 and 87,560,710,560

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Solution

The third proportional to 40,164,426,864 and 87,560,710,560 is: 190,887,275,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,164,426,864 : 87,560,710,560 = 87,560,710,560 : x
  2. Step 2: Convert to fraction form
    40,164,426,864/87,560,710,560 = 87,560,710,560/x
  3. Step 3: Cross multiply
    40,164,426,864x = 87,560,710,560 × 87,560,710,560
  4. Step 4: Simplify right side
    40,164,426,864x = 7,666,878,033,772,095,209,472
  5. Step 5: Solve for x
    x = 7,666,878,033,772,095,209,472/40,164,426,864
  6. Step 6: Final answer
    x = 190,887,275,940.29

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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.