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Finding the Third Proportional to 671,092,484,281 and 1,472,111,929,579

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Solution

The third proportional to 671,092,484,281 and 1,472,111,929,579 is: 3,229,232,309,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,092,484,281 : 1,472,111,929,579 = 1,472,111,929,579 : x
  2. Step 2: Convert to fraction form
    671,092,484,281/1,472,111,929,579 = 1,472,111,929,579/x
  3. Step 3: Cross multiply
    671,092,484,281x = 1,472,111,929,579 × 1,472,111,929,579
  4. Step 4: Simplify right side
    671,092,484,281x = 2,167,113,533,208,806,532,579,328
  5. Step 5: Solve for x
    x = 2,167,113,533,208,806,532,579,328/671,092,484,281
  6. Step 6: Final answer
    x = 3,229,232,309,955.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.