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Finding the Third Proportional to 46,573,564,334 and 101,307,299,056

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Solution

The third proportional to 46,573,564,334 and 101,307,299,056 is: 220,364,685,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573,564,334 : 101,307,299,056 = 101,307,299,056 : x
  2. Step 2: Convert to fraction form
    46,573,564,334/101,307,299,056 = 101,307,299,056/x
  3. Step 3: Cross multiply
    46,573,564,334x = 101,307,299,056 × 101,307,299,056
  4. Step 4: Simplify right side
    46,573,564,334x = 10,263,168,842,021,818,335,232
  5. Step 5: Solve for x
    x = 10,263,168,842,021,818,335,232/46,573,564,334
  6. Step 6: Final answer
    x = 220,364,685,176.77

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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.