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Finding the Third Proportional to 3,648,756,312 and 7,966,331,100

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Solution

The third proportional to 3,648,756,312 and 7,966,331,100 is: 17,392,893,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648,756,312 : 7,966,331,100 = 7,966,331,100 : x
  2. Step 2: Convert to fraction form
    3,648,756,312/7,966,331,100 = 7,966,331,100/x
  3. Step 3: Cross multiply
    3,648,756,312x = 7,966,331,100 × 7,966,331,100
  4. Step 4: Simplify right side
    3,648,756,312x = 63,462,431,194,827,210,752
  5. Step 5: Solve for x
    x = 63,462,431,194,827,210,752/3,648,756,312
  6. Step 6: Final answer
    x = 17,392,893,843.34

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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.