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Finding the Third Proportional to 185,478,745,014 and 401,756,450,337

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Solution

The third proportional to 185,478,745,014 and 401,756,450,337 is: 870,225,024,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,478,745,014 : 401,756,450,337 = 401,756,450,337 : x
  2. Step 2: Convert to fraction form
    185,478,745,014/401,756,450,337 = 401,756,450,337/x
  3. Step 3: Cross multiply
    185,478,745,014x = 401,756,450,337 × 401,756,450,337
  4. Step 4: Simplify right side
    185,478,745,014x = 161,408,245,387,386,354,139,136
  5. Step 5: Solve for x
    x = 161,408,245,387,386,354,139,136/185,478,745,014
  6. Step 6: Final answer
    x = 870,225,024,302.40

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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.