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Finding the Third Proportional to 607,405,055 and 907,127,310

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Solution

The third proportional to 607,405,055 and 907,127,310 is: 1,354,746,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,405,055 : 907,127,310 = 907,127,310 : x
  2. Step 2: Convert to fraction form
    607,405,055/907,127,310 = 907,127,310/x
  3. Step 3: Cross multiply
    607,405,055x = 907,127,310 × 907,127,310
  4. Step 4: Simplify right side
    607,405,055x = 822,879,956,547,836,160
  5. Step 5: Solve for x
    x = 822,879,956,547,836,160/607,405,055
  6. Step 6: Final answer
    x = 1,354,746,638.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.