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Finding the Third Proportional to 420,927,936,570 and 982,199,127,681

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Solution

The third proportional to 420,927,936,570 and 982,199,127,681 is: 2,291,877,166,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,927,936,570 : 982,199,127,681 = 982,199,127,681 : x
  2. Step 2: Convert to fraction form
    420,927,936,570/982,199,127,681 = 982,199,127,681/x
  3. Step 3: Cross multiply
    420,927,936,570x = 982,199,127,681 × 982,199,127,681
  4. Step 4: Simplify right side
    420,927,936,570x = 964,715,126,417,317,401,985,024
  5. Step 5: Solve for x
    x = 964,715,126,417,317,401,985,024/420,927,936,570
  6. Step 6: Final answer
    x = 2,291,877,166,145.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.