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Finding the Third Proportional to 29,509,396,506 and 63,730,437,300

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Solution

The third proportional to 29,509,396,506 and 63,730,437,300 is: 137,636,452,091.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,509,396,506 : 63,730,437,300 = 63,730,437,300 : x
  2. Step 2: Convert to fraction form
    29,509,396,506/63,730,437,300 = 63,730,437,300/x
  3. Step 3: Cross multiply
    29,509,396,506x = 63,730,437,300 × 63,730,437,300
  4. Step 4: Simplify right side
    29,509,396,506x = 4,061,568,638,449,231,069,184
  5. Step 5: Solve for x
    x = 4,061,568,638,449,231,069,184/29,509,396,506
  6. Step 6: Final answer
    x = 137,636,452,091.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.