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Finding the Third Proportional to 9,830,030 and 21,549,638

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Solution

The third proportional to 9,830,030 and 21,549,638 is: 47,241,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830,030 : 21,549,638 = 21,549,638 : x
  2. Step 2: Convert to fraction form
    9,830,030/21,549,638 = 21,549,638/x
  3. Step 3: Cross multiply
    9,830,030x = 21,549,638 × 21,549,638
  4. Step 4: Simplify right side
    9,830,030x = 464,386,897,931,044
  5. Step 5: Solve for x
    x = 464,386,897,931,044/9,830,030
  6. Step 6: Final answer
    x = 47,241,656.22

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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.