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Finding the Third Proportional to 562,200,698,130 and 856,473,875,272

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Solution

The third proportional to 562,200,698,130 and 856,473,875,272 is: 1,304,778,705,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,200,698,130 : 856,473,875,272 = 856,473,875,272 : x
  2. Step 2: Convert to fraction form
    562,200,698,130/856,473,875,272 = 856,473,875,272/x
  3. Step 3: Cross multiply
    562,200,698,130x = 856,473,875,272 × 856,473,875,272
  4. Step 4: Simplify right side
    562,200,698,130x = 733,547,499,023,437,473,513,472
  5. Step 5: Solve for x
    x = 733,547,499,023,437,473,513,472/562,200,698,130
  6. Step 6: Final answer
    x = 1,304,778,705,297.55

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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.