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Finding the Third Proportional to 6,715,602,256 and 14,374,587,021

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Solution

The third proportional to 6,715,602,256 and 14,374,587,021 is: 30,768,461,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715,602,256 : 14,374,587,021 = 14,374,587,021 : x
  2. Step 2: Convert to fraction form
    6,715,602,256/14,374,587,021 = 14,374,587,021/x
  3. Step 3: Cross multiply
    6,715,602,256x = 14,374,587,021 × 14,374,587,021
  4. Step 4: Simplify right side
    6,715,602,256x = 206,628,752,024,301,666,304
  5. Step 5: Solve for x
    x = 206,628,752,024,301,666,304/6,715,602,256
  6. Step 6: Final answer
    x = 30,768,461,881.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.