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Finding the Third Proportional to 245,605,478 and 537,356,656

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Solution

The third proportional to 245,605,478 and 537,356,656 is: 1,175,674,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,605,478 : 537,356,656 = 537,356,656 : x
  2. Step 2: Convert to fraction form
    245,605,478/537,356,656 = 537,356,656/x
  3. Step 3: Cross multiply
    245,605,478x = 537,356,656 × 537,356,656
  4. Step 4: Simplify right side
    245,605,478x = 288,752,175,747,502,336
  5. Step 5: Solve for x
    x = 288,752,175,747,502,336/245,605,478
  6. Step 6: Final answer
    x = 1,175,674,818.41

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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.