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Finding the Third Proportional to 597,152,228,014 and 1,316,023,095,871

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Solution

The third proportional to 597,152,228,014 and 1,316,023,095,871 is: 2,900,293,606,248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,152,228,014 : 1,316,023,095,871 = 1,316,023,095,871 : x
  2. Step 2: Convert to fraction form
    597,152,228,014/1,316,023,095,871 = 1,316,023,095,871/x
  3. Step 3: Cross multiply
    597,152,228,014x = 1,316,023,095,871 × 1,316,023,095,871
  4. Step 4: Simplify right side
    597,152,228,014x = 1,731,916,788,865,891,299,229,696
  5. Step 5: Solve for x
    x = 1,731,916,788,865,891,299,229,696/597,152,228,014
  6. Step 6: Final answer
    x = 2,900,293,606,248.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.