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Finding the Third Proportional to 1,076,124,363 and 2,238,134,403

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Solution

The third proportional to 1,076,124,363 and 2,238,134,403 is: 4,654,894,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,124,363 : 2,238,134,403 = 2,238,134,403 : x
  2. Step 2: Convert to fraction form
    1,076,124,363/2,238,134,403 = 2,238,134,403/x
  3. Step 3: Cross multiply
    1,076,124,363x = 2,238,134,403 × 2,238,134,403
  4. Step 4: Simplify right side
    1,076,124,363x = 5,009,245,605,892,166,656
  5. Step 5: Solve for x
    x = 5,009,245,605,892,166,656/1,076,124,363
  6. Step 6: Final answer
    x = 4,654,894,711.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.