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Finding the Third Proportional to 113,586,894,776 and 242,929,939,684

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Solution

The third proportional to 113,586,894,776 and 242,929,939,684 is: 519,557,786,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,586,894,776 : 242,929,939,684 = 242,929,939,684 : x
  2. Step 2: Convert to fraction form
    113,586,894,776/242,929,939,684 = 242,929,939,684/x
  3. Step 3: Cross multiply
    113,586,894,776x = 242,929,939,684 × 242,929,939,684
  4. Step 4: Simplify right side
    113,586,894,776x = 59,014,955,594,871,881,072,640
  5. Step 5: Solve for x
    x = 59,014,955,594,871,881,072,640/113,586,894,776
  6. Step 6: Final answer
    x = 519,557,786,232.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.