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Finding the Third Proportional to 9,757,249,324 and 13,164,820,342

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Solution

The third proportional to 9,757,249,324 and 13,164,820,342 is: 17,762,433,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757,249,324 : 13,164,820,342 = 13,164,820,342 : x
  2. Step 2: Convert to fraction form
    9,757,249,324/13,164,820,342 = 13,164,820,342/x
  3. Step 3: Cross multiply
    9,757,249,324x = 13,164,820,342 × 13,164,820,342
  4. Step 4: Simplify right side
    9,757,249,324x = 173,312,494,637,137,002,496
  5. Step 5: Solve for x
    x = 173,312,494,637,137,002,496/9,757,249,324
  6. Step 6: Final answer
    x = 17,762,433,743.58

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.