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Finding the Third Proportional to 1,658,159,998,623 and 2,547,579,574,822.60

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Solution

The third proportional to 1,658,159,998,623 and 2,547,579,574,822.60 is: 3,914,074,453,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,159,998,623 : 2,547,579,574,822.60 = 2,547,579,574,822.60 : x
  2. Step 2: Convert to fraction form
    1,658,159,998,623/2,547,579,574,822.60 = 2,547,579,574,822.60/x
  3. Step 3: Cross multiply
    1,658,159,998,623x = 2,547,579,574,822.60 × 2,547,579,574,822.60
  4. Step 4: Simplify right side
    1,658,159,998,623x = 6,490,161,690,053,300,390,461,440
  5. Step 5: Solve for x
    x = 6,490,161,690,053,300,390,461,440/1,658,159,998,623
  6. Step 6: Final answer
    x = 3,914,074,453,275.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.