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Finding the Third Proportional to 570,543,174,781 and 1,243,602,071,275

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Solution

The third proportional to 570,543,174,781 and 1,243,602,071,275 is: 2,710,655,705,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,543,174,781 : 1,243,602,071,275 = 1,243,602,071,275 : x
  2. Step 2: Convert to fraction form
    570,543,174,781/1,243,602,071,275 = 1,243,602,071,275/x
  3. Step 3: Cross multiply
    570,543,174,781x = 1,243,602,071,275 × 1,243,602,071,275
  4. Step 4: Simplify right side
    570,543,174,781x = 1,546,546,111,679,470,141,177,856
  5. Step 5: Solve for x
    x = 1,546,546,111,679,470,141,177,856/570,543,174,781
  6. Step 6: Final answer
    x = 2,710,655,705,018.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.