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Finding the Third Proportional to 597,152,228,020 and 1,316,023,095,883

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Solution

The third proportional to 597,152,228,020 and 1,316,023,095,883 is: 2,900,293,606,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,152,228,020 : 1,316,023,095,883 = 1,316,023,095,883 : x
  2. Step 2: Convert to fraction form
    597,152,228,020/1,316,023,095,883 = 1,316,023,095,883/x
  3. Step 3: Cross multiply
    597,152,228,020x = 1,316,023,095,883 × 1,316,023,095,883
  4. Step 4: Simplify right side
    597,152,228,020x = 1,731,916,788,897,475,683,418,112
  5. Step 5: Solve for x
    x = 1,731,916,788,897,475,683,418,112/597,152,228,020
  6. Step 6: Final answer
    x = 2,900,293,606,271.98

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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.