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Finding the Third Proportional to 1,828,637,094 and 4,006,630,488

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Solution

The third proportional to 1,828,637,094 and 4,006,630,488 is: 8,778,717,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,637,094 : 4,006,630,488 = 4,006,630,488 : x
  2. Step 2: Convert to fraction form
    1,828,637,094/4,006,630,488 = 4,006,630,488/x
  3. Step 3: Cross multiply
    1,828,637,094x = 4,006,630,488 × 4,006,630,488
  4. Step 4: Simplify right side
    1,828,637,094x = 16,053,087,867,371,118,592
  5. Step 5: Solve for x
    x = 16,053,087,867,371,118,592/1,828,637,094
  6. Step 6: Final answer
    x = 8,778,717,176.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.