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Finding the Third Proportional to 1,865,116,519 and 4,044,925,553

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Solution

The third proportional to 1,865,116,519 and 4,044,925,553 is: 8,772,332,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,116,519 : 4,044,925,553 = 4,044,925,553 : x
  2. Step 2: Convert to fraction form
    1,865,116,519/4,044,925,553 = 4,044,925,553/x
  3. Step 3: Cross multiply
    1,865,116,519x = 4,044,925,553 × 4,044,925,553
  4. Step 4: Simplify right side
    1,865,116,519x = 16,361,422,729,312,356,352
  5. Step 5: Solve for x
    x = 16,361,422,729,312,356,352/1,865,116,519
  6. Step 6: Final answer
    x = 8,772,332,753.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.