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Finding the Third Proportional to 10,957,854,712 and 16,939,991,312

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Solution

The third proportional to 10,957,854,712 and 16,939,991,312 is: 26,187,909,330.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957,854,712 : 16,939,991,312 = 16,939,991,312 : x
  2. Step 2: Convert to fraction form
    10,957,854,712/16,939,991,312 = 16,939,991,312/x
  3. Step 3: Cross multiply
    10,957,854,712x = 16,939,991,312 × 16,939,991,312
  4. Step 4: Simplify right side
    10,957,854,712x = 286,963,305,650,635,472,896
  5. Step 5: Solve for x
    x = 286,963,305,650,635,472,896/10,957,854,712
  6. Step 6: Final answer
    x = 26,187,909,330.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.