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Finding the Third Proportional to 562,200,698,096 and 856,473,875,211

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Solution

The third proportional to 562,200,698,096 and 856,473,875,211 is: 1,304,778,705,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,200,698,096 : 856,473,875,211 = 856,473,875,211 : x
  2. Step 2: Convert to fraction form
    562,200,698,096/856,473,875,211 = 856,473,875,211/x
  3. Step 3: Cross multiply
    562,200,698,096x = 856,473,875,211 × 856,473,875,211
  4. Step 4: Simplify right side
    562,200,698,096x = 733,547,498,918,947,630,088,192
  5. Step 5: Solve for x
    x = 733,547,498,918,947,630,088,192/562,200,698,096
  6. Step 6: Final answer
    x = 1,304,778,705,190.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.