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Finding the Third Proportional to 535,639,009,011 and 1,156,486,544,335.50

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Solution

The third proportional to 535,639,009,011 and 1,156,486,544,335.50 is: 2,496,944,966,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,639,009,011 : 1,156,486,544,335.50 = 1,156,486,544,335.50 : x
  2. Step 2: Convert to fraction form
    535,639,009,011/1,156,486,544,335.50 = 1,156,486,544,335.50/x
  3. Step 3: Cross multiply
    535,639,009,011x = 1,156,486,544,335.50 × 1,156,486,544,335.50
  4. Step 4: Simplify right side
    535,639,009,011x = 1,337,461,127,229,066,457,382,912
  5. Step 5: Solve for x
    x = 1,337,461,127,229,066,457,382,912/535,639,009,011
  6. Step 6: Final answer
    x = 2,496,944,966,160.22

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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.