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Finding the Third Proportional to 46,323,712 and 100,272,640

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Solution

The third proportional to 46,323,712 and 100,272,640 is: 217,050,877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,323,712 : 100,272,640 = 100,272,640 : x
  2. Step 2: Convert to fraction form
    46,323,712/100,272,640 = 100,272,640/x
  3. Step 3: Cross multiply
    46,323,712x = 100,272,640 × 100,272,640
  4. Step 4: Simplify right side
    46,323,712x = 10,054,602,332,569,600
  5. Step 5: Solve for x
    x = 10,054,602,332,569,600/46,323,712
  6. Step 6: Final answer
    x = 217,050,877.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.