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Finding the Third Proportional to 43,686,360,834,483 and 95,063,281,006,305

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Solution

The third proportional to 43,686,360,834,483 and 95,063,281,006,305 is: 206,861,528,931,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,686,360,834,483 : 95,063,281,006,305 = 95,063,281,006,305 : x
  2. Step 2: Convert to fraction form
    43,686,360,834,483/95,063,281,006,305 = 95,063,281,006,305/x
  3. Step 3: Cross multiply
    43,686,360,834,483x = 95,063,281,006,305 × 95,063,281,006,305
  4. Step 4: Simplify right side
    43,686,360,834,483x = 9,037,027,395,683,708,704,823,181,312
  5. Step 5: Solve for x
    x = 9,037,027,395,683,708,704,823,181,312/43,686,360,834,483
  6. Step 6: Final answer
    x = 206,861,528,931,714.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.