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Finding the Third Proportional to 617,124,312 and 1,317,943,224

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Solution

The third proportional to 617,124,312 and 1,317,943,224 is: 2,814,626,336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,124,312 : 1,317,943,224 = 1,317,943,224 : x
  2. Step 2: Convert to fraction form
    617,124,312/1,317,943,224 = 1,317,943,224/x
  3. Step 3: Cross multiply
    617,124,312x = 1,317,943,224 × 1,317,943,224
  4. Step 4: Simplify right side
    617,124,312x = 1,736,974,341,687,514,112
  5. Step 5: Solve for x
    x = 1,736,974,341,687,514,112/617,124,312
  6. Step 6: Final answer
    x = 2,814,626,336.89

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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.