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Finding the Third Proportional to 9,413,988.75 and 14,547,010.22

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Solution

The third proportional to 9,413,988.75 and 14,547,010.22 is: 22,478,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413,988.75 : 14,547,010.22 = 14,547,010.22 : x
  2. Step 2: Convert to fraction form
    9,413,988.75/14,547,010.22 = 14,547,010.22/x
  3. Step 3: Cross multiply
    9,413,988.75x = 14,547,010.22 × 14,547,010.22
  4. Step 4: Simplify right side
    9,413,988.75x = 211,615,506,304,416.94
  5. Step 5: Solve for x
    x = 211,615,506,304,416.94/9,413,988.75
  6. Step 6: Final answer
    x = 22,478,835.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.