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Finding the Third Proportional to 475,645,878 and 727,685,059.50

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Solution

The third proportional to 475,645,878 and 727,685,059.50 is: 1,113,276,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,645,878 : 727,685,059.50 = 727,685,059.50 : x
  2. Step 2: Convert to fraction form
    475,645,878/727,685,059.50 = 727,685,059.50/x
  3. Step 3: Cross multiply
    475,645,878x = 727,685,059.50 × 727,685,059.50
  4. Step 4: Simplify right side
    475,645,878x = 529,525,545,819,518,528
  5. Step 5: Solve for x
    x = 529,525,545,819,518,528/475,645,878
  6. Step 6: Final answer
    x = 1,113,276,852.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.