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Finding the Third Proportional to 75,714,754,515 and 163,518,572,742

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Solution

The third proportional to 75,714,754,515 and 163,518,572,742 is: 353,145,484,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,714,754,515 : 163,518,572,742 = 163,518,572,742 : x
  2. Step 2: Convert to fraction form
    75,714,754,515/163,518,572,742 = 163,518,572,742/x
  3. Step 3: Cross multiply
    75,714,754,515x = 163,518,572,742 × 163,518,572,742
  4. Step 4: Simplify right side
    75,714,754,515x = 26,738,323,631,580,746,088,448
  5. Step 5: Solve for x
    x = 26,738,323,631,580,746,088,448/75,714,754,515
  6. Step 6: Final answer
    x = 353,145,484,032.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.