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Finding the Third Proportional to 44,762,796,789 and 97,078,214,049

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Solution

The third proportional to 44,762,796,789 and 97,078,214,049 is: 210,535,987,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,762,796,789 : 97,078,214,049 = 97,078,214,049 : x
  2. Step 2: Convert to fraction form
    44,762,796,789/97,078,214,049 = 97,078,214,049/x
  3. Step 3: Cross multiply
    44,762,796,789x = 97,078,214,049 × 97,078,214,049
  4. Step 4: Simplify right side
    44,762,796,789x = 9,424,179,642,943,460,605,952
  5. Step 5: Solve for x
    x = 9,424,179,642,943,460,605,952/44,762,796,789
  6. Step 6: Final answer
    x = 210,535,987,895.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.