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Finding the Third Proportional to 200,267,668,840 and 424,411,918,928

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Solution

The third proportional to 200,267,668,840 and 424,411,918,928 is: 899,423,646,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,267,668,840 : 424,411,918,928 = 424,411,918,928 : x
  2. Step 2: Convert to fraction form
    200,267,668,840/424,411,918,928 = 424,411,918,928/x
  3. Step 3: Cross multiply
    200,267,668,840x = 424,411,918,928 × 424,411,918,928
  4. Step 4: Simplify right side
    200,267,668,840x = 180,125,476,928,147,240,779,776
  5. Step 5: Solve for x
    x = 180,125,476,928,147,240,779,776/200,267,668,840
  6. Step 6: Final answer
    x = 899,423,646,220.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.