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Finding the Third Proportional to 671,092,484,276.50 and 1,472,111,929,571

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Solution

The third proportional to 671,092,484,276.50 and 1,472,111,929,571 is: 3,229,232,309,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,092,484,276.50 : 1,472,111,929,571 = 1,472,111,929,571 : x
  2. Step 2: Convert to fraction form
    671,092,484,276.50/1,472,111,929,571 = 1,472,111,929,571/x
  3. Step 3: Cross multiply
    671,092,484,276.50x = 1,472,111,929,571 × 1,472,111,929,571
  4. Step 4: Simplify right side
    671,092,484,276.50x = 2,167,113,533,185,252,931,928,064
  5. Step 5: Solve for x
    x = 2,167,113,533,185,252,931,928,064/671,092,484,276.50
  6. Step 6: Final answer
    x = 3,229,232,309,942.50

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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.