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Finding the Third Proportional to 46,573,565,880 and 101,307,302,070

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Solution

The third proportional to 46,573,565,880 and 101,307,302,070 is: 220,364,690,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573,565,880 : 101,307,302,070 = 101,307,302,070 : x
  2. Step 2: Convert to fraction form
    46,573,565,880/101,307,302,070 = 101,307,302,070/x
  3. Step 3: Cross multiply
    46,573,565,880x = 101,307,302,070 × 101,307,302,070
  4. Step 4: Simplify right side
    46,573,565,880x = 10,263,169,452,702,225,661,952
  5. Step 5: Solve for x
    x = 10,263,169,452,702,225,661,952/46,573,565,880
  6. Step 6: Final answer
    x = 220,364,690,973.97

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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.