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Finding the Third Proportional to 615,964,209 and 1,282,881,144

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Solution

The third proportional to 615,964,209 and 1,282,881,144 is: 2,671,882,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,964,209 : 1,282,881,144 = 1,282,881,144 : x
  2. Step 2: Convert to fraction form
    615,964,209/1,282,881,144 = 1,282,881,144/x
  3. Step 3: Cross multiply
    615,964,209x = 1,282,881,144 × 1,282,881,144
  4. Step 4: Simplify right side
    615,964,209x = 1,645,784,029,630,748,672
  5. Step 5: Solve for x
    x = 1,645,784,029,630,748,672/615,964,209
  6. Step 6: Final answer
    x = 2,671,882,563.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.