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Finding the Third Proportional to 46,573,580,688 and 101,307,329,796

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Solution

The third proportional to 46,573,580,688 and 101,307,329,796 is: 220,364,741,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573,580,688 : 101,307,329,796 = 101,307,329,796 : x
  2. Step 2: Convert to fraction form
    46,573,580,688/101,307,329,796 = 101,307,329,796/x
  3. Step 3: Cross multiply
    46,573,580,688x = 101,307,329,796 × 101,307,329,796
  4. Step 4: Simplify right side
    46,573,580,688x = 10,263,175,070,395,509,243,904
  5. Step 5: Solve for x
    x = 10,263,175,070,395,509,243,904/46,573,580,688
  6. Step 6: Final answer
    x = 220,364,741,529.09

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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.