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Finding the Third Proportional to 46,966,752 and 75,498,810

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Solution

The third proportional to 46,966,752 and 75,498,810 is: 121,363,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,966,752 : 75,498,810 = 75,498,810 : x
  2. Step 2: Convert to fraction form
    46,966,752/75,498,810 = 75,498,810/x
  3. Step 3: Cross multiply
    46,966,752x = 75,498,810 × 75,498,810
  4. Step 4: Simplify right side
    46,966,752x = 5,700,070,311,416,100
  5. Step 5: Solve for x
    x = 5,700,070,311,416,100/46,966,752
  6. Step 6: Final answer
    x = 121,363,945.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.