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Finding the Third Proportional to 562,200,698,087.45 and 856,473,875,199

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Solution

The third proportional to 562,200,698,087.45 and 856,473,875,199 is: 1,304,778,705,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,200,698,087.45 : 856,473,875,199 = 856,473,875,199 : x
  2. Step 2: Convert to fraction form
    562,200,698,087.45/856,473,875,199 = 856,473,875,199/x
  3. Step 3: Cross multiply
    562,200,698,087.45x = 856,473,875,199 × 856,473,875,199
  4. Step 4: Simplify right side
    562,200,698,087.45x = 733,547,498,898,392,185,044,992
  5. Step 5: Solve for x
    x = 733,547,498,898,392,185,044,992/562,200,698,087.45
  6. Step 6: Final answer
    x = 1,304,778,705,173.88

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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.