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Finding the Third Proportional to 9,754,495 and 22,588,506

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Solution

The third proportional to 9,754,495 and 22,588,506 is: 52,308,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754,495 : 22,588,506 = 22,588,506 : x
  2. Step 2: Convert to fraction form
    9,754,495/22,588,506 = 22,588,506/x
  3. Step 3: Cross multiply
    9,754,495x = 22,588,506 × 22,588,506
  4. Step 4: Simplify right side
    9,754,495x = 510,240,603,312,036
  5. Step 5: Solve for x
    x = 510,240,603,312,036/9,754,495
  6. Step 6: Final answer
    x = 52,308,254.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.