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Finding the Third Proportional to 2,758,243,677,752 and 6,444,502,046,066

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Solution

The third proportional to 2,758,243,677,752 and 6,444,502,046,066 is: 15,057,265,228,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758,243,677,752 : 6,444,502,046,066 = 6,444,502,046,066 : x
  2. Step 2: Convert to fraction form
    2,758,243,677,752/6,444,502,046,066 = 6,444,502,046,066/x
  3. Step 3: Cross multiply
    2,758,243,677,752x = 6,444,502,046,066 × 6,444,502,046,066
  4. Step 4: Simplify right side
    2,758,243,677,752x = 41,531,606,621,748,864,003,080,192
  5. Step 5: Solve for x
    x = 41,531,606,621,748,864,003,080,192/2,758,243,677,752
  6. Step 6: Final answer
    x = 15,057,265,228,863.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.