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Finding the Third Proportional to 30,452,909,706 and 46,554,645,700

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Solution

The third proportional to 30,452,909,706 and 46,554,645,700 is: 71,170,047,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452,909,706 : 46,554,645,700 = 46,554,645,700 : x
  2. Step 2: Convert to fraction form
    30,452,909,706/46,554,645,700 = 46,554,645,700/x
  3. Step 3: Cross multiply
    30,452,909,706x = 46,554,645,700 × 46,554,645,700
  4. Step 4: Simplify right side
    30,452,909,706x = 2,167,335,036,252,528,574,464
  5. Step 5: Solve for x
    x = 2,167,335,036,252,528,574,464/30,452,909,706
  6. Step 6: Final answer
    x = 71,170,047,695.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.