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Finding the Third Proportional to 29,757,722,715 and 64,249,252,447.50

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Solution

The third proportional to 29,757,722,715 and 64,249,252,447.50 is: 138,719,164,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757,722,715 : 64,249,252,447.50 = 64,249,252,447.50 : x
  2. Step 2: Convert to fraction form
    29,757,722,715/64,249,252,447.50 = 64,249,252,447.50/x
  3. Step 3: Cross multiply
    29,757,722,715x = 64,249,252,447.50 × 64,249,252,447.50
  4. Step 4: Simplify right side
    29,757,722,715x = 4,127,966,440,062,584,881,152
  5. Step 5: Solve for x
    x = 4,127,966,440,062,584,881,152/29,757,722,715
  6. Step 6: Final answer
    x = 138,719,164,755.90

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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.