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Finding the Third Proportional to 16,123,613,114 and 35,346,590,142

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Solution

The third proportional to 16,123,613,114 and 35,346,590,142 is: 77,487,683,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123,613,114 : 35,346,590,142 = 35,346,590,142 : x
  2. Step 2: Convert to fraction form
    16,123,613,114/35,346,590,142 = 35,346,590,142/x
  3. Step 3: Cross multiply
    16,123,613,114x = 35,346,590,142 × 35,346,590,142
  4. Step 4: Simplify right side
    16,123,613,114x = 1,249,381,434,666,531,684,352
  5. Step 5: Solve for x
    x = 1,249,381,434,666,531,684,352/16,123,613,114
  6. Step 6: Final answer
    x = 77,487,683,798.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.