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Finding the Third Proportional to 9,819,368,752 and 21,539,817,871

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Solution

The third proportional to 9,819,368,752 and 21,539,817,871 is: 47,249,855,426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819,368,752 : 21,539,817,871 = 21,539,817,871 : x
  2. Step 2: Convert to fraction form
    9,819,368,752/21,539,817,871 = 21,539,817,871/x
  3. Step 3: Cross multiply
    9,819,368,752x = 21,539,817,871 × 21,539,817,871
  4. Step 4: Simplify right side
    9,819,368,752x = 463,963,753,915,850,948,608
  5. Step 5: Solve for x
    x = 463,963,753,915,850,948,608/9,819,368,752
  6. Step 6: Final answer
    x = 47,249,855,426.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.