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Finding the Third Proportional to 30,360,144 and 46,636,506

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Solution

The third proportional to 30,360,144 and 46,636,506 is: 71,638,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,360,144 : 46,636,506 = 46,636,506 : x
  2. Step 2: Convert to fraction form
    30,360,144/46,636,506 = 46,636,506/x
  3. Step 3: Cross multiply
    30,360,144x = 46,636,506 × 46,636,506
  4. Step 4: Simplify right side
    30,360,144x = 2,174,963,691,888,036
  5. Step 5: Solve for x
    x = 2,174,963,691,888,036/30,360,144
  6. Step 6: Final answer
    x = 71,638,780.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.