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Finding the Third Proportional to 9,858,823,083 and 23,249,841,988.50

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Solution

The third proportional to 9,858,823,083 and 23,249,841,988.50 is: 54,829,582,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858,823,083 : 23,249,841,988.50 = 23,249,841,988.50 : x
  2. Step 2: Convert to fraction form
    9,858,823,083/23,249,841,988.50 = 23,249,841,988.50/x
  3. Step 3: Cross multiply
    9,858,823,083x = 23,249,841,988.50 × 23,249,841,988.50
  4. Step 4: Simplify right side
    9,858,823,083x = 540,555,152,490,217,603,072
  5. Step 5: Solve for x
    x = 540,555,152,490,217,603,072/9,858,823,083
  6. Step 6: Final answer
    x = 54,829,582,389.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.