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Finding the Third Proportional to 885,144,243 and 1,930,478,946

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Solution

The third proportional to 885,144,243 and 1,930,478,946 is: 4,210,329,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,144,243 : 1,930,478,946 = 1,930,478,946 : x
  2. Step 2: Convert to fraction form
    885,144,243/1,930,478,946 = 1,930,478,946/x
  3. Step 3: Cross multiply
    885,144,243x = 1,930,478,946 × 1,930,478,946
  4. Step 4: Simplify right side
    885,144,243x = 3,726,748,960,949,271,040
  5. Step 5: Solve for x
    x = 3,726,748,960,949,271,040/885,144,243
  6. Step 6: Final answer
    x = 4,210,329,548.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.